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Finding the Fourth Proportional to 387.96, 535.14 and 248.10

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Solution

The fourth proportional to 387.96, 535.14 and 248.10 is: 342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.96 : 535.14 = 248.10 : x
  2. Step 2: Convert to fraction form
    387.96/535.14 = 248.10/x
  3. Step 3: Cross multiply
    387.96x = 535.14 × 248.10
  4. Step 4: Simplify right side
    387.96x = 132,768.23
  5. Step 5: Solve for x
    x = 132,768.23/387.96
  6. Step 6: Final answer
    x = 342.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.