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Finding the Fourth Proportional to 251.66, 347.24 and 146.76

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Solution

The fourth proportional to 251.66, 347.24 and 146.76 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.66 : 347.24 = 146.76 : x
  2. Step 2: Convert to fraction form
    251.66/347.24 = 146.76/x
  3. Step 3: Cross multiply
    251.66x = 347.24 × 146.76
  4. Step 4: Simplify right side
    251.66x = 50,961.13
  5. Step 5: Solve for x
    x = 50,961.13/251.66
  6. Step 6: Final answer
    x = 202.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.