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Finding the Fourth Proportional to 176.14, 242.40 and 132.40

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Solution

The fourth proportional to 176.14, 242.40 and 132.40 is: 182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 242.40 = 132.40 : x
  2. Step 2: Convert to fraction form
    176.14/242.40 = 132.40/x
  3. Step 3: Cross multiply
    176.14x = 242.40 × 132.40
  4. Step 4: Simplify right side
    176.14x = 32,093.76
  5. Step 5: Solve for x
    x = 32,093.76/176.14
  6. Step 6: Final answer
    x = 182.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.