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Finding the Fourth Proportional to 153.86, 229.76 and 144.86

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Solution

The fourth proportional to 153.86, 229.76 and 144.86 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 229.76 = 144.86 : x
  2. Step 2: Convert to fraction form
    153.86/229.76 = 144.86/x
  3. Step 3: Cross multiply
    153.86x = 229.76 × 144.86
  4. Step 4: Simplify right side
    153.86x = 33,281.70
  5. Step 5: Solve for x
    x = 33,281.70/153.86
  6. Step 6: Final answer
    x = 216.32

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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.