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Finding the Fourth Proportional to 265.64, 366.64 and 155.20

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Solution

The fourth proportional to 265.64, 366.64 and 155.20 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 366.64 = 155.20 : x
  2. Step 2: Convert to fraction form
    265.64/366.64 = 155.20/x
  3. Step 3: Cross multiply
    265.64x = 366.64 × 155.20
  4. Step 4: Simplify right side
    265.64x = 56,902.53
  5. Step 5: Solve for x
    x = 56,902.53/265.64
  6. Step 6: Final answer
    x = 214.21

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Why These Related Problems?

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