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Finding the Fourth Proportional to 302.54, 417.66 and 186.17

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Solution

The fourth proportional to 302.54, 417.66 and 186.17 is: 257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 417.66 = 186.17 : x
  2. Step 2: Convert to fraction form
    302.54/417.66 = 186.17/x
  3. Step 3: Cross multiply
    302.54x = 417.66 × 186.17
  4. Step 4: Simplify right side
    302.54x = 77,755.76
  5. Step 5: Solve for x
    x = 77,755.76/302.54
  6. Step 6: Final answer
    x = 257.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.