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Finding the Fourth Proportional to 265.78, 366.98 and 210.80

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Solution

The fourth proportional to 265.78, 366.98 and 210.80 is: 291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 366.98 = 210.80 : x
  2. Step 2: Convert to fraction form
    265.78/366.98 = 210.80/x
  3. Step 3: Cross multiply
    265.78x = 366.98 × 210.80
  4. Step 4: Simplify right side
    265.78x = 77,359.38
  5. Step 5: Solve for x
    x = 77,359.38/265.78
  6. Step 6: Final answer
    x = 291.07

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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.