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Finding the Fourth Proportional to 364.04, 502.35 and 206.67

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Solution

The fourth proportional to 364.04, 502.35 and 206.67 is: 285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.04 : 502.35 = 206.67 : x
  2. Step 2: Convert to fraction form
    364.04/502.35 = 206.67/x
  3. Step 3: Cross multiply
    364.04x = 502.35 × 206.67
  4. Step 4: Simplify right side
    364.04x = 103,819.57
  5. Step 5: Solve for x
    x = 103,819.57/364.04
  6. Step 6: Final answer
    x = 285.19

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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.