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Finding the Fourth Proportional to 230.06, 345.38 and 178.74

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Solution

The fourth proportional to 230.06, 345.38 and 178.74 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 345.38 = 178.74 : x
  2. Step 2: Convert to fraction form
    230.06/345.38 = 178.74/x
  3. Step 3: Cross multiply
    230.06x = 345.38 × 178.74
  4. Step 4: Simplify right side
    230.06x = 61,733.22
  5. Step 5: Solve for x
    x = 61,733.22/230.06
  6. Step 6: Final answer
    x = 268.34

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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.