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Finding the Fourth Proportional to 265.80, 366.80 and 155.28

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Solution

The fourth proportional to 265.80, 366.80 and 155.28 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.80 : 366.80 = 155.28 : x
  2. Step 2: Convert to fraction form
    265.80/366.80 = 155.28/x
  3. Step 3: Cross multiply
    265.80x = 366.80 × 155.28
  4. Step 4: Simplify right side
    265.80x = 56,956.70
  5. Step 5: Solve for x
    x = 56,956.70/265.80
  6. Step 6: Final answer
    x = 214.28

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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.