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Finding the Fourth Proportional to 251.65, 376.75 and 165.08

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Solution

The fourth proportional to 251.65, 376.75 and 165.08 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.65 : 376.75 = 165.08 : x
  2. Step 2: Convert to fraction form
    251.65/376.75 = 165.08/x
  3. Step 3: Cross multiply
    251.65x = 376.75 × 165.08
  4. Step 4: Simplify right side
    251.65x = 62,193.89
  5. Step 5: Solve for x
    x = 62,193.89/251.65
  6. Step 6: Final answer
    x = 247.14

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