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Finding the Fourth Proportional to 347.29, 521.10 and 164.65

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Solution

The fourth proportional to 347.29, 521.10 and 164.65 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 521.10 = 164.65 : x
  2. Step 2: Convert to fraction form
    347.29/521.10 = 164.65/x
  3. Step 3: Cross multiply
    347.29x = 521.10 × 164.65
  4. Step 4: Simplify right side
    347.29x = 85,798.79
  5. Step 5: Solve for x
    x = 85,798.79/347.29
  6. Step 6: Final answer
    x = 247.05

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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.