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Finding the Fourth Proportional to 367.86, 507.66 and 210.52

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Solution

The fourth proportional to 367.86, 507.66 and 210.52 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.86 : 507.66 = 210.52 : x
  2. Step 2: Convert to fraction form
    367.86/507.66 = 210.52/x
  3. Step 3: Cross multiply
    367.86x = 507.66 × 210.52
  4. Step 4: Simplify right side
    367.86x = 106,870.04
  5. Step 5: Solve for x
    x = 106,870.04/367.86
  6. Step 6: Final answer
    x = 290.52

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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.