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Finding the Fourth Proportional to 265.70, 365.88 and 210.27

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Solution

The fourth proportional to 265.70, 365.88 and 210.27 is: 289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.70 : 365.88 = 210.27 : x
  2. Step 2: Convert to fraction form
    265.70/365.88 = 210.27/x
  3. Step 3: Cross multiply
    265.70x = 365.88 × 210.27
  4. Step 4: Simplify right side
    265.70x = 76,933.59
  5. Step 5: Solve for x
    x = 76,933.59/265.70
  6. Step 6: Final answer
    x = 289.55

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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.