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Finding the Fourth Proportional to 470.64, 706.06 and 162.50

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Solution

The fourth proportional to 470.64, 706.06 and 162.50 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 706.06 = 162.50 : x
  2. Step 2: Convert to fraction form
    470.64/706.06 = 162.50/x
  3. Step 3: Cross multiply
    470.64x = 706.06 × 162.50
  4. Step 4: Simplify right side
    470.64x = 114,734.75
  5. Step 5: Solve for x
    x = 114,734.75/470.64
  6. Step 6: Final answer
    x = 243.78

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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.