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Finding the Fourth Proportional to 185, 277.50 and 71

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Solution

The fourth proportional to 185, 277.50 and 71 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185 : 277.50 = 71 : x
  2. Step 2: Convert to fraction form
    185/277.50 = 71/x
  3. Step 3: Cross multiply
    185x = 277.50 × 71
  4. Step 4: Simplify right side
    185x = 19,702.50
  5. Step 5: Solve for x
    x = 19,702.50/185
  6. Step 6: Final answer
    x = 106.50

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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.