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Finding the Fourth Proportional to 445.98, 669.06 and 153.47

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Solution

The fourth proportional to 445.98, 669.06 and 153.47 is: 230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.98 : 669.06 = 153.47 : x
  2. Step 2: Convert to fraction form
    445.98/669.06 = 153.47/x
  3. Step 3: Cross multiply
    445.98x = 669.06 × 153.47
  4. Step 4: Simplify right side
    445.98x = 102,680.64
  5. Step 5: Solve for x
    x = 102,680.64/445.98
  6. Step 6: Final answer
    x = 230.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.