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Finding the Fourth Proportional to 145.43, 200.18 and 120.59

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Solution

The fourth proportional to 145.43, 200.18 and 120.59 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.43 : 200.18 = 120.59 : x
  2. Step 2: Convert to fraction form
    145.43/200.18 = 120.59/x
  3. Step 3: Cross multiply
    145.43x = 200.18 × 120.59
  4. Step 4: Simplify right side
    145.43x = 24,139.10
  5. Step 5: Solve for x
    x = 24,139.10/145.43
  6. Step 6: Final answer
    x = 165.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.