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Finding the Fourth Proportional to 145.53, 217.16 and 132.59

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Solution

The fourth proportional to 145.53, 217.16 and 132.59 is: 197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.53 : 217.16 = 132.59 : x
  2. Step 2: Convert to fraction form
    145.53/217.16 = 132.59/x
  3. Step 3: Cross multiply
    145.53x = 217.16 × 132.59
  4. Step 4: Simplify right side
    145.53x = 28,794.12
  5. Step 5: Solve for x
    x = 28,794.12/145.53
  6. Step 6: Final answer
    x = 197.86

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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.