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Finding the Fourth Proportional to 307.16, 424.16 and 209.16

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Solution

The fourth proportional to 307.16, 424.16 and 209.16 is: 288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.16 : 424.16 = 209.16 : x
  2. Step 2: Convert to fraction form
    307.16/424.16 = 209.16/x
  3. Step 3: Cross multiply
    307.16x = 424.16 × 209.16
  4. Step 4: Simplify right side
    307.16x = 88,717.31
  5. Step 5: Solve for x
    x = 88,717.31/307.16
  6. Step 6: Final answer
    x = 288.83

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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.