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Finding the Fourth Proportional to 265.06, 395.68 and 224.10

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Solution

The fourth proportional to 265.06, 395.68 and 224.10 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.06 : 395.68 = 224.10 : x
  2. Step 2: Convert to fraction form
    265.06/395.68 = 224.10/x
  3. Step 3: Cross multiply
    265.06x = 395.68 × 224.10
  4. Step 4: Simplify right side
    265.06x = 88,671.89
  5. Step 5: Solve for x
    x = 88,671.89/265.06
  6. Step 6: Final answer
    x = 334.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.