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Finding the Fourth Proportional to 258.34, 387.65 and 114.05

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Solution

The fourth proportional to 258.34, 387.65 and 114.05 is: 171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.34 : 387.65 = 114.05 : x
  2. Step 2: Convert to fraction form
    258.34/387.65 = 114.05/x
  3. Step 3: Cross multiply
    258.34x = 387.65 × 114.05
  4. Step 4: Simplify right side
    258.34x = 44,212.74
  5. Step 5: Solve for x
    x = 44,212.74/258.34
  6. Step 6: Final answer
    x = 171.14

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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.