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Finding the Fourth Proportional to 470.29, 705.33 and 162.13

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Solution

The fourth proportional to 470.29, 705.33 and 162.13 is: 243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.29 : 705.33 = 162.13 : x
  2. Step 2: Convert to fraction form
    470.29/705.33 = 162.13/x
  3. Step 3: Cross multiply
    470.29x = 705.33 × 162.13
  4. Step 4: Simplify right side
    470.29x = 114,355.15
  5. Step 5: Solve for x
    x = 114,355.15/470.29
  6. Step 6: Final answer
    x = 243.16

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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.