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Finding the Fourth Proportional to 353.85, 530.74 and 122.64

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Solution

The fourth proportional to 353.85, 530.74 and 122.64 is: 183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.85 : 530.74 = 122.64 : x
  2. Step 2: Convert to fraction form
    353.85/530.74 = 122.64/x
  3. Step 3: Cross multiply
    353.85x = 530.74 × 122.64
  4. Step 4: Simplify right side
    353.85x = 65,089.95
  5. Step 5: Solve for x
    x = 65,089.95/353.85
  6. Step 6: Final answer
    x = 183.95

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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.