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Finding the Fourth Proportional to 367.74, 507.42 and 210.36

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Solution

The fourth proportional to 367.74, 507.42 and 210.36 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 507.42 = 210.36 : x
  2. Step 2: Convert to fraction form
    367.74/507.42 = 210.36/x
  3. Step 3: Cross multiply
    367.74x = 507.42 × 210.36
  4. Step 4: Simplify right side
    367.74x = 106,740.87
  5. Step 5: Solve for x
    x = 106,740.87/367.74
  6. Step 6: Final answer
    x = 290.26

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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.