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Finding the Fourth Proportional to 261.69, 390.65 and 243.46

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Solution

The fourth proportional to 261.69, 390.65 and 243.46 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.69 : 390.65 = 243.46 : x
  2. Step 2: Convert to fraction form
    261.69/390.65 = 243.46/x
  3. Step 3: Cross multiply
    261.69x = 390.65 × 243.46
  4. Step 4: Simplify right side
    261.69x = 95,107.65
  5. Step 5: Solve for x
    x = 95,107.65/261.69
  6. Step 6: Final answer
    x = 363.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.