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Finding the Fourth Proportional to 145.08, 217.98 and 142.92

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Solution

The fourth proportional to 145.08, 217.98 and 142.92 is: 214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.08 : 217.98 = 142.92 : x
  2. Step 2: Convert to fraction form
    145.08/217.98 = 142.92/x
  3. Step 3: Cross multiply
    145.08x = 217.98 × 142.92
  4. Step 4: Simplify right side
    145.08x = 31,153.70
  5. Step 5: Solve for x
    x = 31,153.70/145.08
  6. Step 6: Final answer
    x = 214.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.