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Finding the Fourth Proportional to 470.64, 705.85 and 141.57

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Solution

The fourth proportional to 470.64, 705.85 and 141.57 is: 212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 705.85 = 141.57 : x
  2. Step 2: Convert to fraction form
    470.64/705.85 = 141.57/x
  3. Step 3: Cross multiply
    470.64x = 705.85 × 141.57
  4. Step 4: Simplify right side
    470.64x = 99,927.18
  5. Step 5: Solve for x
    x = 99,927.18/470.64
  6. Step 6: Final answer
    x = 212.32

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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.