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Finding the Fourth Proportional to 277.71, 416.25 and 156.09

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Solution

The fourth proportional to 277.71, 416.25 and 156.09 is: 233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.71 : 416.25 = 156.09 : x
  2. Step 2: Convert to fraction form
    277.71/416.25 = 156.09/x
  3. Step 3: Cross multiply
    277.71x = 416.25 × 156.09
  4. Step 4: Simplify right side
    277.71x = 64,972.46
  5. Step 5: Solve for x
    x = 64,972.46/277.71
  6. Step 6: Final answer
    x = 233.96

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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.