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Finding the Fourth Proportional to 347.42, 521.14 and 164.76

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Solution

The fourth proportional to 347.42, 521.14 and 164.76 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.42 : 521.14 = 164.76 : x
  2. Step 2: Convert to fraction form
    347.42/521.14 = 164.76/x
  3. Step 3: Cross multiply
    347.42x = 521.14 × 164.76
  4. Step 4: Simplify right side
    347.42x = 85,863.03
  5. Step 5: Solve for x
    x = 85,863.03/347.42
  6. Step 6: Final answer
    x = 247.14

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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.