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Finding the Fourth Proportional to 302.02, 416.64 and 214.78

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Solution

The fourth proportional to 302.02, 416.64 and 214.78 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.02 : 416.64 = 214.78 : x
  2. Step 2: Convert to fraction form
    302.02/416.64 = 214.78/x
  3. Step 3: Cross multiply
    302.02x = 416.64 × 214.78
  4. Step 4: Simplify right side
    302.02x = 89,485.94
  5. Step 5: Solve for x
    x = 89,485.94/302.02
  6. Step 6: Final answer
    x = 296.29

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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.