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Finding the Fourth Proportional to 251.96, 347.72 and 147.02

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Solution

The fourth proportional to 251.96, 347.72 and 147.02 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 347.72 = 147.02 : x
  2. Step 2: Convert to fraction form
    251.96/347.72 = 147.02/x
  3. Step 3: Cross multiply
    251.96x = 347.72 × 147.02
  4. Step 4: Simplify right side
    251.96x = 51,119.32
  5. Step 5: Solve for x
    x = 51,119.32/251.96
  6. Step 6: Final answer
    x = 202.89

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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.