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Finding the Fourth Proportional to 183.40, 253.16 and 118

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Solution

The fourth proportional to 183.40, 253.16 and 118 is: 162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.40 : 253.16 = 118 : x
  2. Step 2: Convert to fraction form
    183.40/253.16 = 118/x
  3. Step 3: Cross multiply
    183.40x = 253.16 × 118
  4. Step 4: Simplify right side
    183.40x = 29,872.88
  5. Step 5: Solve for x
    x = 29,872.88/183.40
  6. Step 6: Final answer
    x = 162.88

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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.