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Finding the Fourth Proportional to 277.58, 416.14 and 138.68

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Solution

The fourth proportional to 277.58, 416.14 and 138.68 is: 207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.58 : 416.14 = 138.68 : x
  2. Step 2: Convert to fraction form
    277.58/416.14 = 138.68/x
  3. Step 3: Cross multiply
    277.58x = 416.14 × 138.68
  4. Step 4: Simplify right side
    277.58x = 57,710.64
  5. Step 5: Solve for x
    x = 57,710.64/277.58
  6. Step 6: Final answer
    x = 207.91

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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.