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Finding the Fourth Proportional to 302.87, 417.97 and 214.51

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Solution

The fourth proportional to 302.87, 417.97 and 214.51 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.87 : 417.97 = 214.51 : x
  2. Step 2: Convert to fraction form
    302.87/417.97 = 214.51/x
  3. Step 3: Cross multiply
    302.87x = 417.97 × 214.51
  4. Step 4: Simplify right side
    302.87x = 89,659.55
  5. Step 5: Solve for x
    x = 89,659.55/302.87
  6. Step 6: Final answer
    x = 296.03

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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.