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Finding the Fourth Proportional to 178.17, 266.05 and 168.04

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Solution

The fourth proportional to 178.17, 266.05 and 168.04 is: 250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.17 : 266.05 = 168.04 : x
  2. Step 2: Convert to fraction form
    178.17/266.05 = 168.04/x
  3. Step 3: Cross multiply
    178.17x = 266.05 × 168.04
  4. Step 4: Simplify right side
    178.17x = 44,707.04
  5. Step 5: Solve for x
    x = 44,707.04/178.17
  6. Step 6: Final answer
    x = 250.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.