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Finding the Fourth Proportional to 265.84, 365.76 and 207.52

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Solution

The fourth proportional to 265.84, 365.76 and 207.52 is: 285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.84 : 365.76 = 207.52 : x
  2. Step 2: Convert to fraction form
    265.84/365.76 = 207.52/x
  3. Step 3: Cross multiply
    265.84x = 365.76 × 207.52
  4. Step 4: Simplify right side
    265.84x = 75,902.52
  5. Step 5: Solve for x
    x = 75,902.52/265.84
  6. Step 6: Final answer
    x = 285.52

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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.