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Finding the Fourth Proportional to 435.16, 652.62 and 146.44

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Solution

The fourth proportional to 435.16, 652.62 and 146.44 is: 219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.16 : 652.62 = 146.44 : x
  2. Step 2: Convert to fraction form
    435.16/652.62 = 146.44/x
  3. Step 3: Cross multiply
    435.16x = 652.62 × 146.44
  4. Step 4: Simplify right side
    435.16x = 95,569.67
  5. Step 5: Solve for x
    x = 95,569.67/435.16
  6. Step 6: Final answer
    x = 219.62

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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.