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Finding the Fourth Proportional to 302.14, 417 and 177.82

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Solution

The fourth proportional to 302.14, 417 and 177.82 is: 245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.14 : 417 = 177.82 : x
  2. Step 2: Convert to fraction form
    302.14/417 = 177.82/x
  3. Step 3: Cross multiply
    302.14x = 417 × 177.82
  4. Step 4: Simplify right side
    302.14x = 74,150.94
  5. Step 5: Solve for x
    x = 74,150.94/302.14
  6. Step 6: Final answer
    x = 245.42

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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.