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Finding the Fourth Proportional to 471.50, 707.33 and 146.80

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Solution

The fourth proportional to 471.50, 707.33 and 146.80 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.50 : 707.33 = 146.80 : x
  2. Step 2: Convert to fraction form
    471.50/707.33 = 146.80/x
  3. Step 3: Cross multiply
    471.50x = 707.33 × 146.80
  4. Step 4: Simplify right side
    471.50x = 103,837.81
  5. Step 5: Solve for x
    x = 103,837.81/471.50
  6. Step 6: Final answer
    x = 220.23

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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.