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Finding the Fourth Proportional to 183.74, 253.26 and 118.13

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Solution

The fourth proportional to 183.74, 253.26 and 118.13 is: 162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 253.26 = 118.13 : x
  2. Step 2: Convert to fraction form
    183.74/253.26 = 118.13/x
  3. Step 3: Cross multiply
    183.74x = 253.26 × 118.13
  4. Step 4: Simplify right side
    183.74x = 29,916.34
  5. Step 5: Solve for x
    x = 29,916.34/183.74
  6. Step 6: Final answer
    x = 162.82

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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.