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Finding the Fourth Proportional to 275.40, 412.32 and 153.21

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Solution

The fourth proportional to 275.40, 412.32 and 153.21 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 412.32 = 153.21 : x
  2. Step 2: Convert to fraction form
    275.40/412.32 = 153.21/x
  3. Step 3: Cross multiply
    275.40x = 412.32 × 153.21
  4. Step 4: Simplify right side
    275.40x = 63,171.55
  5. Step 5: Solve for x
    x = 63,171.55/275.40
  6. Step 6: Final answer
    x = 229.38

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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.