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Finding the Fourth Proportional to 153.16, 229.77 and 98.32

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Solution

The fourth proportional to 153.16, 229.77 and 98.32 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.16 : 229.77 = 98.32 : x
  2. Step 2: Convert to fraction form
    153.16/229.77 = 98.32/x
  3. Step 3: Cross multiply
    153.16x = 229.77 × 98.32
  4. Step 4: Simplify right side
    153.16x = 22,590.17
  5. Step 5: Solve for x
    x = 22,590.17/153.16
  6. Step 6: Final answer
    x = 147.49

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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.