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Finding the Fourth Proportional to 349.98, 525.07 and 167.53

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Solution

The fourth proportional to 349.98, 525.07 and 167.53 is: 251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.98 : 525.07 = 167.53 : x
  2. Step 2: Convert to fraction form
    349.98/525.07 = 167.53/x
  3. Step 3: Cross multiply
    349.98x = 525.07 × 167.53
  4. Step 4: Simplify right side
    349.98x = 87,962.35
  5. Step 5: Solve for x
    x = 87,962.35/349.98
  6. Step 6: Final answer
    x = 251.34

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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.