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Finding the Fourth Proportional to 185.88, 256.52 and 103.00

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Solution

The fourth proportional to 185.88, 256.52 and 103.00 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 256.52 = 103.00 : x
  2. Step 2: Convert to fraction form
    185.88/256.52 = 103.00/x
  3. Step 3: Cross multiply
    185.88x = 256.52 × 103.00
  4. Step 4: Simplify right side
    185.88x = 26,420.37
  5. Step 5: Solve for x
    x = 26,420.37/185.88
  6. Step 6: Final answer
    x = 142.13

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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.