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Finding the Fourth Proportional to 301.32, 414.92 and 248.47

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Solution

The fourth proportional to 301.32, 414.92 and 248.47 is: 342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 414.92 = 248.47 : x
  2. Step 2: Convert to fraction form
    301.32/414.92 = 248.47/x
  3. Step 3: Cross multiply
    301.32x = 414.92 × 248.47
  4. Step 4: Simplify right side
    301.32x = 103,094.76
  5. Step 5: Solve for x
    x = 103,094.76/301.32
  6. Step 6: Final answer
    x = 342.14

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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.