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Finding the Fourth Proportional to 302.52, 417.62 and 214.19

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Solution

The fourth proportional to 302.52, 417.62 and 214.19 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 417.62 = 214.19 : x
  2. Step 2: Convert to fraction form
    302.52/417.62 = 214.19/x
  3. Step 3: Cross multiply
    302.52x = 417.62 × 214.19
  4. Step 4: Simplify right side
    302.52x = 89,448.48
  5. Step 5: Solve for x
    x = 89,448.48/302.52
  6. Step 6: Final answer
    x = 295.68

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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.