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Finding the Fourth Proportional to 470.19, 705.29 and 177.65

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Solution

The fourth proportional to 470.19, 705.29 and 177.65 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.19 : 705.29 = 177.65 : x
  2. Step 2: Convert to fraction form
    470.19/705.29 = 177.65/x
  3. Step 3: Cross multiply
    470.19x = 705.29 × 177.65
  4. Step 4: Simplify right side
    470.19x = 125,290.35
  5. Step 5: Solve for x
    x = 125,290.35/470.19
  6. Step 6: Final answer
    x = 266.47

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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.