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Finding the Fourth Proportional to 347.29, 520.49 and 152.06

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Solution

The fourth proportional to 347.29, 520.49 and 152.06 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 520.49 = 152.06 : x
  2. Step 2: Convert to fraction form
    347.29/520.49 = 152.06/x
  3. Step 3: Cross multiply
    347.29x = 520.49 × 152.06
  4. Step 4: Simplify right side
    347.29x = 79,143.49
  5. Step 5: Solve for x
    x = 79,143.49/347.29
  6. Step 6: Final answer
    x = 227.89

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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.