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Finding the Fourth Proportional to 261.96, 392.58 and 146.46

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Solution

The fourth proportional to 261.96, 392.58 and 146.46 is: 219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 392.58 = 146.46 : x
  2. Step 2: Convert to fraction form
    261.96/392.58 = 146.46/x
  3. Step 3: Cross multiply
    261.96x = 392.58 × 146.46
  4. Step 4: Simplify right side
    261.96x = 57,497.27
  5. Step 5: Solve for x
    x = 57,497.27/261.96
  6. Step 6: Final answer
    x = 219.49

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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.