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Finding the Fourth Proportional to 265.56, 366.57 and 210.48

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Solution

The fourth proportional to 265.56, 366.57 and 210.48 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.56 : 366.57 = 210.48 : x
  2. Step 2: Convert to fraction form
    265.56/366.57 = 210.48/x
  3. Step 3: Cross multiply
    265.56x = 366.57 × 210.48
  4. Step 4: Simplify right side
    265.56x = 77,155.65
  5. Step 5: Solve for x
    x = 77,155.65/265.56
  6. Step 6: Final answer
    x = 290.54

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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.