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Finding the Fourth Proportional to 367.57, 507.25 and 210.19

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Solution

The fourth proportional to 367.57, 507.25 and 210.19 is: 290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.57 : 507.25 = 210.19 : x
  2. Step 2: Convert to fraction form
    367.57/507.25 = 210.19/x
  3. Step 3: Cross multiply
    367.57x = 507.25 × 210.19
  4. Step 4: Simplify right side
    367.57x = 106,617.23
  5. Step 5: Solve for x
    x = 106,617.23/367.57
  6. Step 6: Final answer
    x = 290.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.