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Finding the Fourth Proportional to 183.56, 253.17 and 117.95

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Solution

The fourth proportional to 183.56, 253.17 and 117.95 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.56 : 253.17 = 117.95 : x
  2. Step 2: Convert to fraction form
    183.56/253.17 = 117.95/x
  3. Step 3: Cross multiply
    183.56x = 253.17 × 117.95
  4. Step 4: Simplify right side
    183.56x = 29,860.14
  5. Step 5: Solve for x
    x = 29,860.14/183.56
  6. Step 6: Final answer
    x = 162.68

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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.