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Finding the Fourth Proportional to 435.05, 652.68 and 146.49

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Solution

The fourth proportional to 435.05, 652.68 and 146.49 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.05 : 652.68 = 146.49 : x
  2. Step 2: Convert to fraction form
    435.05/652.68 = 146.49/x
  3. Step 3: Cross multiply
    435.05x = 652.68 × 146.49
  4. Step 4: Simplify right side
    435.05x = 95,609.50
  5. Step 5: Solve for x
    x = 95,609.50/435.05
  6. Step 6: Final answer
    x = 219.77

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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.