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Finding the Fourth Proportional to 356.78, 535.19 and 137.45

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Solution

The fourth proportional to 356.78, 535.19 and 137.45 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 535.19 = 137.45 : x
  2. Step 2: Convert to fraction form
    356.78/535.19 = 137.45/x
  3. Step 3: Cross multiply
    356.78x = 535.19 × 137.45
  4. Step 4: Simplify right side
    356.78x = 73,558.50
  5. Step 5: Solve for x
    x = 73,558.50/356.78
  6. Step 6: Final answer
    x = 206.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.