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Finding the Fourth Proportional to 228.83, 316.10 and 202.70

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Solution

The fourth proportional to 228.83, 316.10 and 202.70 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.83 : 316.10 = 202.70 : x
  2. Step 2: Convert to fraction form
    228.83/316.10 = 202.70/x
  3. Step 3: Cross multiply
    228.83x = 316.10 × 202.70
  4. Step 4: Simplify right side
    228.83x = 64,074.77
  5. Step 5: Solve for x
    x = 64,074.77/228.83
  6. Step 6: Final answer
    x = 280.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.