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Finding the Fourth Proportional to 302.92, 417.86 and 186.36

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Solution

The fourth proportional to 302.92, 417.86 and 186.36 is: 257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.92 : 417.86 = 186.36 : x
  2. Step 2: Convert to fraction form
    302.92/417.86 = 186.36/x
  3. Step 3: Cross multiply
    302.92x = 417.86 × 186.36
  4. Step 4: Simplify right side
    302.92x = 77,872.39
  5. Step 5: Solve for x
    x = 77,872.39/302.92
  6. Step 6: Final answer
    x = 257.07

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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.