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Finding the Fourth Proportional to 272.29, 375.75 and 147.94

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Solution

The fourth proportional to 272.29, 375.75 and 147.94 is: 204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.29 : 375.75 = 147.94 : x
  2. Step 2: Convert to fraction form
    272.29/375.75 = 147.94/x
  3. Step 3: Cross multiply
    272.29x = 375.75 × 147.94
  4. Step 4: Simplify right side
    272.29x = 55,587.72
  5. Step 5: Solve for x
    x = 55,587.72/272.29
  6. Step 6: Final answer
    x = 204.15

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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.