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Finding the Fourth Proportional to 292.18, 437.72 and 176.71

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Solution

The fourth proportional to 292.18, 437.72 and 176.71 is: 264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.18 : 437.72 = 176.71 : x
  2. Step 2: Convert to fraction form
    292.18/437.72 = 176.71/x
  3. Step 3: Cross multiply
    292.18x = 437.72 × 176.71
  4. Step 4: Simplify right side
    292.18x = 77,348.84
  5. Step 5: Solve for x
    x = 77,348.84/292.18
  6. Step 6: Final answer
    x = 264.73

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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.