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Finding the Fourth Proportional to 251.55, 347.02 and 177.71

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Solution

The fourth proportional to 251.55, 347.02 and 177.71 is: 245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.55 : 347.02 = 177.71 : x
  2. Step 2: Convert to fraction form
    251.55/347.02 = 177.71/x
  3. Step 3: Cross multiply
    251.55x = 347.02 × 177.71
  4. Step 4: Simplify right side
    251.55x = 61,666.74
  5. Step 5: Solve for x
    x = 61,666.74/251.55
  6. Step 6: Final answer
    x = 245.15

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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.