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Finding the Fourth Proportional to 218.36, 302.63 and 214.26

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Solution

The fourth proportional to 218.36, 302.63 and 214.26 is: 296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.36 : 302.63 = 214.26 : x
  2. Step 2: Convert to fraction form
    218.36/302.63 = 214.26/x
  3. Step 3: Cross multiply
    218.36x = 302.63 × 214.26
  4. Step 4: Simplify right side
    218.36x = 64,842.00
  5. Step 5: Solve for x
    x = 64,842.00/218.36
  6. Step 6: Final answer
    x = 296.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.