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Finding the Fourth Proportional to 153.98, 229.84 and 141.16

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Solution

The fourth proportional to 153.98, 229.84 and 141.16 is: 210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 229.84 = 141.16 : x
  2. Step 2: Convert to fraction form
    153.98/229.84 = 141.16/x
  3. Step 3: Cross multiply
    153.98x = 229.84 × 141.16
  4. Step 4: Simplify right side
    153.98x = 32,442.36
  5. Step 5: Solve for x
    x = 32,442.36/153.98
  6. Step 6: Final answer
    x = 210.69

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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.