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Finding the Fourth Proportional to 302.94, 417.81 and 186.42

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Solution

The fourth proportional to 302.94, 417.81 and 186.42 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 417.81 = 186.42 : x
  2. Step 2: Convert to fraction form
    302.94/417.81 = 186.42/x
  3. Step 3: Cross multiply
    302.94x = 417.81 × 186.42
  4. Step 4: Simplify right side
    302.94x = 77,888.14
  5. Step 5: Solve for x
    x = 77,888.14/302.94
  6. Step 6: Final answer
    x = 257.11

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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.