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Finding the Fourth Proportional to 606.34, 909.40 and 167.48

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Solution

The fourth proportional to 606.34, 909.40 and 167.48 is: 251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.34 : 909.40 = 167.48 : x
  2. Step 2: Convert to fraction form
    606.34/909.40 = 167.48/x
  3. Step 3: Cross multiply
    606.34x = 909.40 × 167.48
  4. Step 4: Simplify right side
    606.34x = 152,306.31
  5. Step 5: Solve for x
    x = 152,306.31/606.34
  6. Step 6: Final answer
    x = 251.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.