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Finding the Fourth Proportional to 470.59, 705.75 and 141.56

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Solution

The fourth proportional to 470.59, 705.75 and 141.56 is: 212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.59 : 705.75 = 141.56 : x
  2. Step 2: Convert to fraction form
    470.59/705.75 = 141.56/x
  3. Step 3: Cross multiply
    470.59x = 705.75 × 141.56
  4. Step 4: Simplify right side
    470.59x = 99,905.97
  5. Step 5: Solve for x
    x = 99,905.97/470.59
  6. Step 6: Final answer
    x = 212.30

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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.