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Finding the Fourth Proportional to 470.02, 705.07 and 161.89

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Solution

The fourth proportional to 470.02, 705.07 and 161.89 is: 242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 705.07 = 161.89 : x
  2. Step 2: Convert to fraction form
    470.02/705.07 = 161.89/x
  3. Step 3: Cross multiply
    470.02x = 705.07 × 161.89
  4. Step 4: Simplify right side
    470.02x = 114,143.78
  5. Step 5: Solve for x
    x = 114,143.78/470.02
  6. Step 6: Final answer
    x = 242.85

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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.