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Finding the Fourth Proportional to 261.84, 392.80 and 146.22

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Solution

The fourth proportional to 261.84, 392.80 and 146.22 is: 219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 392.80 = 146.22 : x
  2. Step 2: Convert to fraction form
    261.84/392.80 = 146.22/x
  3. Step 3: Cross multiply
    261.84x = 392.80 × 146.22
  4. Step 4: Simplify right side
    261.84x = 57,435.22
  5. Step 5: Solve for x
    x = 57,435.22/261.84
  6. Step 6: Final answer
    x = 219.35

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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.