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Finding the Fourth Proportional to 153.79, 230.68 and 142.85

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Solution

The fourth proportional to 153.79, 230.68 and 142.85 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.79 : 230.68 = 142.85 : x
  2. Step 2: Convert to fraction form
    153.79/230.68 = 142.85/x
  3. Step 3: Cross multiply
    153.79x = 230.68 × 142.85
  4. Step 4: Simplify right side
    153.79x = 32,952.64
  5. Step 5: Solve for x
    x = 32,952.64/153.79
  6. Step 6: Final answer
    x = 214.28

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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.