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Finding the Fourth Proportional to 251.46, 346.86 and 177.72

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Solution

The fourth proportional to 251.46, 346.86 and 177.72 is: 245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.46 : 346.86 = 177.72 : x
  2. Step 2: Convert to fraction form
    251.46/346.86 = 177.72/x
  3. Step 3: Cross multiply
    251.46x = 346.86 × 177.72
  4. Step 4: Simplify right side
    251.46x = 61,643.96
  5. Step 5: Solve for x
    x = 61,643.96/251.46
  6. Step 6: Final answer
    x = 245.14

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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.