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Finding the Fourth Proportional to 251.94, 347.66 and 147.02

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Solution

The fourth proportional to 251.94, 347.66 and 147.02 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.94 : 347.66 = 147.02 : x
  2. Step 2: Convert to fraction form
    251.94/347.66 = 147.02/x
  3. Step 3: Cross multiply
    251.94x = 347.66 × 147.02
  4. Step 4: Simplify right side
    251.94x = 51,110.50
  5. Step 5: Solve for x
    x = 51,110.50/251.94
  6. Step 6: Final answer
    x = 202.87

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