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Finding the Fourth Proportional to 242.54, 334.72 and 144.30

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Solution

The fourth proportional to 242.54, 334.72 and 144.30 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.54 : 334.72 = 144.30 : x
  2. Step 2: Convert to fraction form
    242.54/334.72 = 144.30/x
  3. Step 3: Cross multiply
    242.54x = 334.72 × 144.30
  4. Step 4: Simplify right side
    242.54x = 48,300.10
  5. Step 5: Solve for x
    x = 48,300.10/242.54
  6. Step 6: Final answer
    x = 199.14

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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.