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Finding the Fourth Proportional to 185.77, 256.08 and 156.25

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Solution

The fourth proportional to 185.77, 256.08 and 156.25 is: 215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.77 : 256.08 = 156.25 : x
  2. Step 2: Convert to fraction form
    185.77/256.08 = 156.25/x
  3. Step 3: Cross multiply
    185.77x = 256.08 × 156.25
  4. Step 4: Simplify right side
    185.77x = 40,012.50
  5. Step 5: Solve for x
    x = 40,012.50/185.77
  6. Step 6: Final answer
    x = 215.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.