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Finding the Fourth Proportional to 435.22, 652.86 and 146.68

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Solution

The fourth proportional to 435.22, 652.86 and 146.68 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.22 : 652.86 = 146.68 : x
  2. Step 2: Convert to fraction form
    435.22/652.86 = 146.68/x
  3. Step 3: Cross multiply
    435.22x = 652.86 × 146.68
  4. Step 4: Simplify right side
    435.22x = 95,761.50
  5. Step 5: Solve for x
    x = 95,761.50/435.22
  6. Step 6: Final answer
    x = 220.03

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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.