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Finding the Fourth Proportional to 175.02, 262.59 and 83.78

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Solution

The fourth proportional to 175.02, 262.59 and 83.78 is: 125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.02 : 262.59 = 83.78 : x
  2. Step 2: Convert to fraction form
    175.02/262.59 = 83.78/x
  3. Step 3: Cross multiply
    175.02x = 262.59 × 83.78
  4. Step 4: Simplify right side
    175.02x = 21,999.79
  5. Step 5: Solve for x
    x = 21,999.79/175.02
  6. Step 6: Final answer
    x = 125.70

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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.