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Finding the Fourth Proportional to 153.16, 229.86 and 133.08

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Solution

The fourth proportional to 153.16, 229.86 and 133.08 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.16 : 229.86 = 133.08 : x
  2. Step 2: Convert to fraction form
    153.16/229.86 = 133.08/x
  3. Step 3: Cross multiply
    153.16x = 229.86 × 133.08
  4. Step 4: Simplify right side
    153.16x = 30,589.77
  5. Step 5: Solve for x
    x = 30,589.77/153.16
  6. Step 6: Final answer
    x = 199.72

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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.