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Finding the Fourth Proportional to 240.72, 362.40 and 177.12

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Solution

The fourth proportional to 240.72, 362.40 and 177.12 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 362.40 = 177.12 : x
  2. Step 2: Convert to fraction form
    240.72/362.40 = 177.12/x
  3. Step 3: Cross multiply
    240.72x = 362.40 × 177.12
  4. Step 4: Simplify right side
    240.72x = 64,188.29
  5. Step 5: Solve for x
    x = 64,188.29/240.72
  6. Step 6: Final answer
    x = 266.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.