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Finding the Fourth Proportional to 242.54, 334.38 and 183.57

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Solution

The fourth proportional to 242.54, 334.38 and 183.57 is: 253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.54 : 334.38 = 183.57 : x
  2. Step 2: Convert to fraction form
    242.54/334.38 = 183.57/x
  3. Step 3: Cross multiply
    242.54x = 334.38 × 183.57
  4. Step 4: Simplify right side
    242.54x = 61,380.54
  5. Step 5: Solve for x
    x = 61,380.54/242.54
  6. Step 6: Final answer
    x = 253.07

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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.