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Finding the Fourth Proportional to 353.65, 530.29 and 122.48

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Solution

The fourth proportional to 353.65, 530.29 and 122.48 is: 183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.65 : 530.29 = 122.48 : x
  2. Step 2: Convert to fraction form
    353.65/530.29 = 122.48/x
  3. Step 3: Cross multiply
    353.65x = 530.29 × 122.48
  4. Step 4: Simplify right side
    353.65x = 64,949.46
  5. Step 5: Solve for x
    x = 64,949.46/353.65
  6. Step 6: Final answer
    x = 183.65

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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.