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Finding the Fourth Proportional to 150.23, 225.24 and 47.46

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Solution

The fourth proportional to 150.23, 225.24 and 47.46 is: 71.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 225.24 = 47.46 : x
  2. Step 2: Convert to fraction form
    150.23/225.24 = 47.46/x
  3. Step 3: Cross multiply
    150.23x = 225.24 × 47.46
  4. Step 4: Simplify right side
    150.23x = 10,689.89
  5. Step 5: Solve for x
    x = 10,689.89/150.23
  6. Step 6: Final answer
    x = 71.16

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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.