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Finding the Fourth Proportional to 255.12, 351.60 and 242.40

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Solution

The fourth proportional to 255.12, 351.60 and 242.40 is: 334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.12 : 351.60 = 242.40 : x
  2. Step 2: Convert to fraction form
    255.12/351.60 = 242.40/x
  3. Step 3: Cross multiply
    255.12x = 351.60 × 242.40
  4. Step 4: Simplify right side
    255.12x = 85,227.84
  5. Step 5: Solve for x
    x = 85,227.84/255.12
  6. Step 6: Final answer
    x = 334.07

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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.