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Finding the Fourth Proportional to 265.20, 366.06 and 166.98

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Solution

The fourth proportional to 265.20, 366.06 and 166.98 is: 230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.20 : 366.06 = 166.98 : x
  2. Step 2: Convert to fraction form
    265.20/366.06 = 166.98/x
  3. Step 3: Cross multiply
    265.20x = 366.06 × 166.98
  4. Step 4: Simplify right side
    265.20x = 61,124.70
  5. Step 5: Solve for x
    x = 61,124.70/265.20
  6. Step 6: Final answer
    x = 230.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.