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Finding the Fourth Proportional to 470.84, 706.28 and 146.17

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Solution

The fourth proportional to 470.84, 706.28 and 146.17 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 706.28 = 146.17 : x
  2. Step 2: Convert to fraction form
    470.84/706.28 = 146.17/x
  3. Step 3: Cross multiply
    470.84x = 706.28 × 146.17
  4. Step 4: Simplify right side
    470.84x = 103,233.78
  5. Step 5: Solve for x
    x = 103,233.78/470.84
  6. Step 6: Final answer
    x = 219.25

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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.