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Finding the Fourth Proportional to 302.77, 417.90 and 186.31

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Solution

The fourth proportional to 302.77, 417.90 and 186.31 is: 257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.77 : 417.90 = 186.31 : x
  2. Step 2: Convert to fraction form
    302.77/417.90 = 186.31/x
  3. Step 3: Cross multiply
    302.77x = 417.90 × 186.31
  4. Step 4: Simplify right side
    302.77x = 77,858.95
  5. Step 5: Solve for x
    x = 77,858.95/302.77
  6. Step 6: Final answer
    x = 257.16

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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.