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Finding the Fourth Proportional to 258.23, 387.41 and 142.77

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Solution

The fourth proportional to 258.23, 387.41 and 142.77 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 387.41 = 142.77 : x
  2. Step 2: Convert to fraction form
    258.23/387.41 = 142.77/x
  3. Step 3: Cross multiply
    258.23x = 387.41 × 142.77
  4. Step 4: Simplify right side
    258.23x = 55,309.81
  5. Step 5: Solve for x
    x = 55,309.81/258.23
  6. Step 6: Final answer
    x = 214.19

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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.