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Finding the Fourth Proportional to 272.38, 375.88 and 148.04

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Solution

The fourth proportional to 272.38, 375.88 and 148.04 is: 204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.38 : 375.88 = 148.04 : x
  2. Step 2: Convert to fraction form
    272.38/375.88 = 148.04/x
  3. Step 3: Cross multiply
    272.38x = 375.88 × 148.04
  4. Step 4: Simplify right side
    272.38x = 55,644.71
  5. Step 5: Solve for x
    x = 55,644.71/272.38
  6. Step 6: Final answer
    x = 204.29

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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.