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Finding the Fourth Proportional to 178.88, 266.52 and 168.40

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Solution

The fourth proportional to 178.88, 266.52 and 168.40 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 266.52 = 168.40 : x
  2. Step 2: Convert to fraction form
    178.88/266.52 = 168.40/x
  3. Step 3: Cross multiply
    178.88x = 266.52 × 168.40
  4. Step 4: Simplify right side
    178.88x = 44,881.43
  5. Step 5: Solve for x
    x = 44,881.43/178.88
  6. Step 6: Final answer
    x = 250.91

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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.