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Finding the Fourth Proportional to 470.23, 705.23 and 177.76

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Solution

The fourth proportional to 470.23, 705.23 and 177.76 is: 266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.23 : 705.23 = 177.76 : x
  2. Step 2: Convert to fraction form
    470.23/705.23 = 177.76/x
  3. Step 3: Cross multiply
    470.23x = 705.23 × 177.76
  4. Step 4: Simplify right side
    470.23x = 125,363.01
  5. Step 5: Solve for x
    x = 125,363.01/470.23
  6. Step 6: Final answer
    x = 266.60

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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.