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Finding the Fourth Proportional to 251.40, 347.10 and 181.58

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Solution

The fourth proportional to 251.40, 347.10 and 181.58 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 347.10 = 181.58 : x
  2. Step 2: Convert to fraction form
    251.40/347.10 = 181.58/x
  3. Step 3: Cross multiply
    251.40x = 347.10 × 181.58
  4. Step 4: Simplify right side
    251.40x = 63,026.42
  5. Step 5: Solve for x
    x = 63,026.42/251.40
  6. Step 6: Final answer
    x = 250.70

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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.