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Finding the Fourth Proportional to 353.54, 530.51 and 137.14

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Solution

The fourth proportional to 353.54, 530.51 and 137.14 is: 205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.54 : 530.51 = 137.14 : x
  2. Step 2: Convert to fraction form
    353.54/530.51 = 137.14/x
  3. Step 3: Cross multiply
    353.54x = 530.51 × 137.14
  4. Step 4: Simplify right side
    353.54x = 72,754.14
  5. Step 5: Solve for x
    x = 72,754.14/353.54
  6. Step 6: Final answer
    x = 205.79

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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.