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Finding the Fourth Proportional to 175.61, 262.80 and 109.70

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Solution

The fourth proportional to 175.61, 262.80 and 109.70 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.61 : 262.80 = 109.70 : x
  2. Step 2: Convert to fraction form
    175.61/262.80 = 109.70/x
  3. Step 3: Cross multiply
    175.61x = 262.80 × 109.70
  4. Step 4: Simplify right side
    175.61x = 28,827.85
  5. Step 5: Solve for x
    x = 28,827.85/175.61
  6. Step 6: Final answer
    x = 164.16

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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.