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Finding the Fourth Proportional to 818.80, 1,228.16 and 202.50

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Solution

The fourth proportional to 818.80, 1,228.16 and 202.50 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.80 : 1,228.16 = 202.50 : x
  2. Step 2: Convert to fraction form
    818.80/1,228.16 = 202.50/x
  3. Step 3: Cross multiply
    818.80x = 1,228.16 × 202.50
  4. Step 4: Simplify right side
    818.80x = 248,702.40
  5. Step 5: Solve for x
    x = 248,702.40/818.80
  6. Step 6: Final answer
    x = 303.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.