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Finding the Fourth Proportional to 258.66, 387.64 and 142.81

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Solution

The fourth proportional to 258.66, 387.64 and 142.81 is: 214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.66 : 387.64 = 142.81 : x
  2. Step 2: Convert to fraction form
    258.66/387.64 = 142.81/x
  3. Step 3: Cross multiply
    258.66x = 387.64 × 142.81
  4. Step 4: Simplify right side
    258.66x = 55,358.87
  5. Step 5: Solve for x
    x = 55,358.87/258.66
  6. Step 6: Final answer
    x = 214.02

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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.