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Finding the Fourth Proportional to 435.14, 652.56 and 146.50

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Solution

The fourth proportional to 435.14, 652.56 and 146.50 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.14 : 652.56 = 146.50 : x
  2. Step 2: Convert to fraction form
    435.14/652.56 = 146.50/x
  3. Step 3: Cross multiply
    435.14x = 652.56 × 146.50
  4. Step 4: Simplify right side
    435.14x = 95,600.04
  5. Step 5: Solve for x
    x = 95,600.04/435.14
  6. Step 6: Final answer
    x = 219.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.