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Finding the Fourth Proportional to 410, 615.14 and 166.48

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Solution

The fourth proportional to 410, 615.14 and 166.48 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 615.14 = 166.48 : x
  2. Step 2: Convert to fraction form
    410/615.14 = 166.48/x
  3. Step 3: Cross multiply
    410x = 615.14 × 166.48
  4. Step 4: Simplify right side
    410x = 102,408.51
  5. Step 5: Solve for x
    x = 102,408.51/410
  6. Step 6: Final answer
    x = 249.78

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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.