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Finding the Fourth Proportional to 265.60, 366.54 and 155.11

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Solution

The fourth proportional to 265.60, 366.54 and 155.11 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.60 : 366.54 = 155.11 : x
  2. Step 2: Convert to fraction form
    265.60/366.54 = 155.11/x
  3. Step 3: Cross multiply
    265.60x = 366.54 × 155.11
  4. Step 4: Simplify right side
    265.60x = 56,853.24
  5. Step 5: Solve for x
    x = 56,853.24/265.60
  6. Step 6: Final answer
    x = 214.06

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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.