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Finding the Fourth Proportional to 160.00, 240.10 and 78.80

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Solution

The fourth proportional to 160.00, 240.10 and 78.80 is: 118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.00 : 240.10 = 78.80 : x
  2. Step 2: Convert to fraction form
    160.00/240.10 = 78.80/x
  3. Step 3: Cross multiply
    160.00x = 240.10 × 78.80
  4. Step 4: Simplify right side
    160.00x = 18,918.48
  5. Step 5: Solve for x
    x = 18,918.48/160.00
  6. Step 6: Final answer
    x = 118.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.