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Finding the Fourth Proportional to 183.90, 253.71 and 112.98

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Solution

The fourth proportional to 183.90, 253.71 and 112.98 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.90 : 253.71 = 112.98 : x
  2. Step 2: Convert to fraction form
    183.90/253.71 = 112.98/x
  3. Step 3: Cross multiply
    183.90x = 253.71 × 112.98
  4. Step 4: Simplify right side
    183.90x = 28,663.95
  5. Step 5: Solve for x
    x = 28,663.95/183.90
  6. Step 6: Final answer
    x = 155.87

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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.