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Finding the Fourth Proportional to 145.07, 218.40 and 132.31

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Solution

The fourth proportional to 145.07, 218.40 and 132.31 is: 199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.07 : 218.40 = 132.31 : x
  2. Step 2: Convert to fraction form
    145.07/218.40 = 132.31/x
  3. Step 3: Cross multiply
    145.07x = 218.40 × 132.31
  4. Step 4: Simplify right side
    145.07x = 28,896.50
  5. Step 5: Solve for x
    x = 28,896.50/145.07
  6. Step 6: Final answer
    x = 199.19

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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.