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Finding the Fourth Proportional to 470.21, 705.20 and 177.74

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Solution

The fourth proportional to 470.21, 705.20 and 177.74 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.21 : 705.20 = 177.74 : x
  2. Step 2: Convert to fraction form
    470.21/705.20 = 177.74/x
  3. Step 3: Cross multiply
    470.21x = 705.20 × 177.74
  4. Step 4: Simplify right side
    470.21x = 125,343.79
  5. Step 5: Solve for x
    x = 125,343.79/470.21
  6. Step 6: Final answer
    x = 266.57

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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.