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Finding the Fourth Proportional to 295.45, 443.01 and 148.90

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Solution

The fourth proportional to 295.45, 443.01 and 148.90 is: 223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 443.01 = 148.90 : x
  2. Step 2: Convert to fraction form
    295.45/443.01 = 148.90/x
  3. Step 3: Cross multiply
    295.45x = 443.01 × 148.90
  4. Step 4: Simplify right side
    295.45x = 65,964.19
  5. Step 5: Solve for x
    x = 65,964.19/295.45
  6. Step 6: Final answer
    x = 223.27

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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.