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Finding the Fourth Proportional to 183.46, 253.25 and 118.02

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Solution

The fourth proportional to 183.46, 253.25 and 118.02 is: 162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.46 : 253.25 = 118.02 : x
  2. Step 2: Convert to fraction form
    183.46/253.25 = 118.02/x
  3. Step 3: Cross multiply
    183.46x = 253.25 × 118.02
  4. Step 4: Simplify right side
    183.46x = 29,888.57
  5. Step 5: Solve for x
    x = 29,888.57/183.46
  6. Step 6: Final answer
    x = 162.92

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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.