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Finding the Fourth Proportional to 302.80, 417.72 and 186.34

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Solution

The fourth proportional to 302.80, 417.72 and 186.34 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 417.72 = 186.34 : x
  2. Step 2: Convert to fraction form
    302.80/417.72 = 186.34/x
  3. Step 3: Cross multiply
    302.80x = 417.72 × 186.34
  4. Step 4: Simplify right side
    302.80x = 77,837.94
  5. Step 5: Solve for x
    x = 77,837.94/302.80
  6. Step 6: Final answer
    x = 257.06

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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.