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Finding the Fourth Proportional to 153.89, 229.53 and 130.80

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Solution

The fourth proportional to 153.89, 229.53 and 130.80 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.89 : 229.53 = 130.80 : x
  2. Step 2: Convert to fraction form
    153.89/229.53 = 130.80/x
  3. Step 3: Cross multiply
    153.89x = 229.53 × 130.80
  4. Step 4: Simplify right side
    153.89x = 30,023.55
  5. Step 5: Solve for x
    x = 30,023.55/153.89
  6. Step 6: Final answer
    x = 195.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.