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Finding the Fourth Proportional to 251.60, 376.88 and 114.46

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Solution

The fourth proportional to 251.60, 376.88 and 114.46 is: 171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.60 : 376.88 = 114.46 : x
  2. Step 2: Convert to fraction form
    251.60/376.88 = 114.46/x
  3. Step 3: Cross multiply
    251.60x = 376.88 × 114.46
  4. Step 4: Simplify right side
    251.60x = 43,136.17
  5. Step 5: Solve for x
    x = 43,136.17/251.60
  6. Step 6: Final answer
    x = 171.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.