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Finding the Fourth Proportional to 277.48, 416.22 and 150.04

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Solution

The fourth proportional to 277.48, 416.22 and 150.04 is: 225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 416.22 = 150.04 : x
  2. Step 2: Convert to fraction form
    277.48/416.22 = 150.04/x
  3. Step 3: Cross multiply
    277.48x = 416.22 × 150.04
  4. Step 4: Simplify right side
    277.48x = 62,449.65
  5. Step 5: Solve for x
    x = 62,449.65/277.48
  6. Step 6: Final answer
    x = 225.06

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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.