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Finding the Fourth Proportional to 432.65, 648.78 and 140.10

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Solution

The fourth proportional to 432.65, 648.78 and 140.10 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.65 : 648.78 = 140.10 : x
  2. Step 2: Convert to fraction form
    432.65/648.78 = 140.10/x
  3. Step 3: Cross multiply
    432.65x = 648.78 × 140.10
  4. Step 4: Simplify right side
    432.65x = 90,894.08
  5. Step 5: Solve for x
    x = 90,894.08/432.65
  6. Step 6: Final answer
    x = 210.09

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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.