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Finding the Fourth Proportional to 153.04, 230.86 and 144.04

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Solution

The fourth proportional to 153.04, 230.86 and 144.04 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 230.86 = 144.04 : x
  2. Step 2: Convert to fraction form
    153.04/230.86 = 144.04/x
  3. Step 3: Cross multiply
    153.04x = 230.86 × 144.04
  4. Step 4: Simplify right side
    153.04x = 33,253.07
  5. Step 5: Solve for x
    x = 33,253.07/153.04
  6. Step 6: Final answer
    x = 217.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.