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Finding the Fourth Proportional to 237.32, 355.42 and 156.04

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Solution

The fourth proportional to 237.32, 355.42 and 156.04 is: 233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.32 : 355.42 = 156.04 : x
  2. Step 2: Convert to fraction form
    237.32/355.42 = 156.04/x
  3. Step 3: Cross multiply
    237.32x = 355.42 × 156.04
  4. Step 4: Simplify right side
    237.32x = 55,459.74
  5. Step 5: Solve for x
    x = 55,459.74/237.32
  6. Step 6: Final answer
    x = 233.69

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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.