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Finding the Fourth Proportional to 242.64, 334.68 and 190.80

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Solution

The fourth proportional to 242.64, 334.68 and 190.80 is: 263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 334.68 = 190.80 : x
  2. Step 2: Convert to fraction form
    242.64/334.68 = 190.80/x
  3. Step 3: Cross multiply
    242.64x = 334.68 × 190.80
  4. Step 4: Simplify right side
    242.64x = 63,856.94
  5. Step 5: Solve for x
    x = 63,856.94/242.64
  6. Step 6: Final answer
    x = 263.18

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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.