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Finding the Fourth Proportional to 353.62, 530.74 and 137.35

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Solution

The fourth proportional to 353.62, 530.74 and 137.35 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.62 : 530.74 = 137.35 : x
  2. Step 2: Convert to fraction form
    353.62/530.74 = 137.35/x
  3. Step 3: Cross multiply
    353.62x = 530.74 × 137.35
  4. Step 4: Simplify right side
    353.62x = 72,897.20
  5. Step 5: Solve for x
    x = 72,897.20/353.62
  6. Step 6: Final answer
    x = 206.14

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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.