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Finding the Fourth Proportional to 277.11, 416.18 and 147.21

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Solution

The fourth proportional to 277.11, 416.18 and 147.21 is: 221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 416.18 = 147.21 : x
  2. Step 2: Convert to fraction form
    277.11/416.18 = 147.21/x
  3. Step 3: Cross multiply
    277.11x = 416.18 × 147.21
  4. Step 4: Simplify right side
    277.11x = 61,265.12
  5. Step 5: Solve for x
    x = 61,265.12/277.11
  6. Step 6: Final answer
    x = 221.09

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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.