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Finding the Fourth Proportional to 185.83, 256.55 and 123.86

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Solution

The fourth proportional to 185.83, 256.55 and 123.86 is: 171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.83 : 256.55 = 123.86 : x
  2. Step 2: Convert to fraction form
    185.83/256.55 = 123.86/x
  3. Step 3: Cross multiply
    185.83x = 256.55 × 123.86
  4. Step 4: Simplify right side
    185.83x = 31,776.31
  5. Step 5: Solve for x
    x = 31,776.31/185.83
  6. Step 6: Final answer
    x = 171.00

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