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Finding the Fourth Proportional to 213.96, 295.20 and 148.53

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Solution

The fourth proportional to 213.96, 295.20 and 148.53 is: 204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 295.20 = 148.53 : x
  2. Step 2: Convert to fraction form
    213.96/295.20 = 148.53/x
  3. Step 3: Cross multiply
    213.96x = 295.20 × 148.53
  4. Step 4: Simplify right side
    213.96x = 43,846.06
  5. Step 5: Solve for x
    x = 43,846.06/213.96
  6. Step 6: Final answer
    x = 204.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.