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Finding the Fourth Proportional to 145.46, 200.40 and 116.30

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Solution

The fourth proportional to 145.46, 200.40 and 116.30 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.46 : 200.40 = 116.30 : x
  2. Step 2: Convert to fraction form
    145.46/200.40 = 116.30/x
  3. Step 3: Cross multiply
    145.46x = 200.40 × 116.30
  4. Step 4: Simplify right side
    145.46x = 23,306.52
  5. Step 5: Solve for x
    x = 23,306.52/145.46
  6. Step 6: Final answer
    x = 160.23

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Why These Related Problems?

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