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Finding the Fourth Proportional to 145.27, 218.24 and 145.04

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Solution

The fourth proportional to 145.27, 218.24 and 145.04 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.27 : 218.24 = 145.04 : x
  2. Step 2: Convert to fraction form
    145.27/218.24 = 145.04/x
  3. Step 3: Cross multiply
    145.27x = 218.24 × 145.04
  4. Step 4: Simplify right side
    145.27x = 31,654.30
  5. Step 5: Solve for x
    x = 31,654.30/145.27
  6. Step 6: Final answer
    x = 217.90

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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.