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Finding the Fourth Proportional to 435.74, 653.70 and 147.20

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Solution

The fourth proportional to 435.74, 653.70 and 147.20 is: 220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.74 : 653.70 = 147.20 : x
  2. Step 2: Convert to fraction form
    435.74/653.70 = 147.20/x
  3. Step 3: Cross multiply
    435.74x = 653.70 × 147.20
  4. Step 4: Simplify right side
    435.74x = 96,224.64
  5. Step 5: Solve for x
    x = 96,224.64/435.74
  6. Step 6: Final answer
    x = 220.83

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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.