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Finding the Fourth Proportional to 470.84, 705.61 and 178.04

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Solution

The fourth proportional to 470.84, 705.61 and 178.04 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 705.61 = 178.04 : x
  2. Step 2: Convert to fraction form
    470.84/705.61 = 178.04/x
  3. Step 3: Cross multiply
    470.84x = 705.61 × 178.04
  4. Step 4: Simplify right side
    470.84x = 125,626.36
  5. Step 5: Solve for x
    x = 125,626.36/470.84
  6. Step 6: Final answer
    x = 266.81

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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.