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Finding the Fourth Proportional to 265.87, 400.54 and 243.32

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Solution

The fourth proportional to 265.87, 400.54 and 243.32 is: 366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.87 : 400.54 = 243.32 : x
  2. Step 2: Convert to fraction form
    265.87/400.54 = 243.32/x
  3. Step 3: Cross multiply
    265.87x = 400.54 × 243.32
  4. Step 4: Simplify right side
    265.87x = 97,458.18
  5. Step 5: Solve for x
    x = 97,458.18/265.87
  6. Step 6: Final answer
    x = 366.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.