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Finding the Fourth Proportional to 349.70, 524.56 and 167.00

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Solution

The fourth proportional to 349.70, 524.56 and 167.00 is: 250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.70 : 524.56 = 167.00 : x
  2. Step 2: Convert to fraction form
    349.70/524.56 = 167.00/x
  3. Step 3: Cross multiply
    349.70x = 524.56 × 167.00
  4. Step 4: Simplify right side
    349.70x = 87,602.41
  5. Step 5: Solve for x
    x = 87,602.41/349.70
  6. Step 6: Final answer
    x = 250.51

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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.