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Finding the Fourth Proportional to 471.61, 707.43 and 146.98

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Solution

The fourth proportional to 471.61, 707.43 and 146.98 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.61 : 707.43 = 146.98 : x
  2. Step 2: Convert to fraction form
    471.61/707.43 = 146.98/x
  3. Step 3: Cross multiply
    471.61x = 707.43 × 146.98
  4. Step 4: Simplify right side
    471.61x = 103,977.33
  5. Step 5: Solve for x
    x = 103,977.33/471.61
  6. Step 6: Final answer
    x = 220.47

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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.