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Finding the Fourth Proportional to 347.40, 521.28 and 164.91

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Solution

The fourth proportional to 347.40, 521.28 and 164.91 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.40 : 521.28 = 164.91 : x
  2. Step 2: Convert to fraction form
    347.40/521.28 = 164.91/x
  3. Step 3: Cross multiply
    347.40x = 521.28 × 164.91
  4. Step 4: Simplify right side
    347.40x = 85,964.28
  5. Step 5: Solve for x
    x = 85,964.28/347.40
  6. Step 6: Final answer
    x = 247.45

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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.