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Finding the Fourth Proportional to 145.03, 218.45 and 132.27

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Solution

The fourth proportional to 145.03, 218.45 and 132.27 is: 199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.03 : 218.45 = 132.27 : x
  2. Step 2: Convert to fraction form
    145.03/218.45 = 132.27/x
  3. Step 3: Cross multiply
    145.03x = 218.45 × 132.27
  4. Step 4: Simplify right side
    145.03x = 28,894.38
  5. Step 5: Solve for x
    x = 28,894.38/145.03
  6. Step 6: Final answer
    x = 199.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.