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Finding the Fourth Proportional to 302.68, 417.73 and 186.22

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Solution

The fourth proportional to 302.68, 417.73 and 186.22 is: 257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.68 : 417.73 = 186.22 : x
  2. Step 2: Convert to fraction form
    302.68/417.73 = 186.22/x
  3. Step 3: Cross multiply
    302.68x = 417.73 × 186.22
  4. Step 4: Simplify right side
    302.68x = 77,789.68
  5. Step 5: Solve for x
    x = 77,789.68/302.68
  6. Step 6: Final answer
    x = 257.00

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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.