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Finding the Fourth Proportional to 471.59, 707.36 and 146.95

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Solution

The fourth proportional to 471.59, 707.36 and 146.95 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.59 : 707.36 = 146.95 : x
  2. Step 2: Convert to fraction form
    471.59/707.36 = 146.95/x
  3. Step 3: Cross multiply
    471.59x = 707.36 × 146.95
  4. Step 4: Simplify right side
    471.59x = 103,944.05
  5. Step 5: Solve for x
    x = 103,944.05/471.59
  6. Step 6: Final answer
    x = 220.41

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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.