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Finding the Fourth Proportional to 292.41, 403.57 and 176.04

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Solution

The fourth proportional to 292.41, 403.57 and 176.04 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.41 : 403.57 = 176.04 : x
  2. Step 2: Convert to fraction form
    292.41/403.57 = 176.04/x
  3. Step 3: Cross multiply
    292.41x = 403.57 × 176.04
  4. Step 4: Simplify right side
    292.41x = 71,044.46
  5. Step 5: Solve for x
    x = 71,044.46/292.41
  6. Step 6: Final answer
    x = 242.96

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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.