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Finding the Fourth Proportional to 302.18, 416.86 and 208.98

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Solution

The fourth proportional to 302.18, 416.86 and 208.98 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.18 : 416.86 = 208.98 : x
  2. Step 2: Convert to fraction form
    302.18/416.86 = 208.98/x
  3. Step 3: Cross multiply
    302.18x = 416.86 × 208.98
  4. Step 4: Simplify right side
    302.18x = 87,116.06
  5. Step 5: Solve for x
    x = 87,116.06/302.18
  6. Step 6: Final answer
    x = 288.29

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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.