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Finding the Fourth Proportional to 277.70, 416.28 and 147.62

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Solution

The fourth proportional to 277.70, 416.28 and 147.62 is: 221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 416.28 = 147.62 : x
  2. Step 2: Convert to fraction form
    277.70/416.28 = 147.62/x
  3. Step 3: Cross multiply
    277.70x = 416.28 × 147.62
  4. Step 4: Simplify right side
    277.70x = 61,451.25
  5. Step 5: Solve for x
    x = 61,451.25/277.70
  6. Step 6: Final answer
    x = 221.29

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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.