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Finding the Fourth Proportional to 367.63, 507.29 and 210.22

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Solution

The fourth proportional to 367.63, 507.29 and 210.22 is: 290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.63 : 507.29 = 210.22 : x
  2. Step 2: Convert to fraction form
    367.63/507.29 = 210.22/x
  3. Step 3: Cross multiply
    367.63x = 507.29 × 210.22
  4. Step 4: Simplify right side
    367.63x = 106,642.50
  5. Step 5: Solve for x
    x = 106,642.50/367.63
  6. Step 6: Final answer
    x = 290.08

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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.