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Finding the Fourth Proportional to 347.66, 521.33 and 119.50

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Solution

The fourth proportional to 347.66, 521.33 and 119.50 is: 179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 521.33 = 119.50 : x
  2. Step 2: Convert to fraction form
    347.66/521.33 = 119.50/x
  3. Step 3: Cross multiply
    347.66x = 521.33 × 119.50
  4. Step 4: Simplify right side
    347.66x = 62,298.94
  5. Step 5: Solve for x
    x = 62,298.94/347.66
  6. Step 6: Final answer
    x = 179.20

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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.