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Finding the Fourth Proportional to 272.72, 407.06 and 240.32

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Solution

The fourth proportional to 272.72, 407.06 and 240.32 is: 358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.72 : 407.06 = 240.32 : x
  2. Step 2: Convert to fraction form
    272.72/407.06 = 240.32/x
  3. Step 3: Cross multiply
    272.72x = 407.06 × 240.32
  4. Step 4: Simplify right side
    272.72x = 97,824.66
  5. Step 5: Solve for x
    x = 97,824.66/272.72
  6. Step 6: Final answer
    x = 358.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.