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Finding the Fourth Proportional to 175.08, 260.79 and 158.76

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Solution

The fourth proportional to 175.08, 260.79 and 158.76 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.08 : 260.79 = 158.76 : x
  2. Step 2: Convert to fraction form
    175.08/260.79 = 158.76/x
  3. Step 3: Cross multiply
    175.08x = 260.79 × 158.76
  4. Step 4: Simplify right side
    175.08x = 41,403.02
  5. Step 5: Solve for x
    x = 41,403.02/175.08
  6. Step 6: Final answer
    x = 236.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.