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Finding the Fourth Proportional to 265.40, 366.06 and 203.10

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Solution

The fourth proportional to 265.40, 366.06 and 203.10 is: 280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.40 : 366.06 = 203.10 : x
  2. Step 2: Convert to fraction form
    265.40/366.06 = 203.10/x
  3. Step 3: Cross multiply
    265.40x = 366.06 × 203.10
  4. Step 4: Simplify right side
    265.40x = 74,346.79
  5. Step 5: Solve for x
    x = 74,346.79/265.40
  6. Step 6: Final answer
    x = 280.13

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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.