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Finding the Fourth Proportional to 276.47, 414.56 and 114.11

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Solution

The fourth proportional to 276.47, 414.56 and 114.11 is: 171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 414.56 = 114.11 : x
  2. Step 2: Convert to fraction form
    276.47/414.56 = 114.11/x
  3. Step 3: Cross multiply
    276.47x = 414.56 × 114.11
  4. Step 4: Simplify right side
    276.47x = 47,303.65
  5. Step 5: Solve for x
    x = 47,303.65/276.47
  6. Step 6: Final answer
    x = 171.10

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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.