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Finding the Fourth Proportional to 261.96, 392.94 and 207.78

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Solution

The fourth proportional to 261.96, 392.94 and 207.78 is: 311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 392.94 = 207.78 : x
  2. Step 2: Convert to fraction form
    261.96/392.94 = 207.78/x
  3. Step 3: Cross multiply
    261.96x = 392.94 × 207.78
  4. Step 4: Simplify right side
    261.96x = 81,645.07
  5. Step 5: Solve for x
    x = 81,645.07/261.96
  6. Step 6: Final answer
    x = 311.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.