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Finding the Fourth Proportional to 240.77, 360.53 and 202.16

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Solution

The fourth proportional to 240.77, 360.53 and 202.16 is: 302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.77 : 360.53 = 202.16 : x
  2. Step 2: Convert to fraction form
    240.77/360.53 = 202.16/x
  3. Step 3: Cross multiply
    240.77x = 360.53 × 202.16
  4. Step 4: Simplify right side
    240.77x = 72,884.74
  5. Step 5: Solve for x
    x = 72,884.74/240.77
  6. Step 6: Final answer
    x = 302.72

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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.