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Finding the Fourth Proportional to 174.23, 240.40 and 116.00

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Solution

The fourth proportional to 174.23, 240.40 and 116.00 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.23 : 240.40 = 116.00 : x
  2. Step 2: Convert to fraction form
    174.23/240.40 = 116.00/x
  3. Step 3: Cross multiply
    174.23x = 240.40 × 116.00
  4. Step 4: Simplify right side
    174.23x = 27,886.24
  5. Step 5: Solve for x
    x = 27,886.24/174.23
  6. Step 6: Final answer
    x = 160.06

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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.