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Finding the Fourth Proportional to 368.68, 553.36 and 186.28

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Solution

The fourth proportional to 368.68, 553.36 and 186.28 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.68 : 553.36 = 186.28 : x
  2. Step 2: Convert to fraction form
    368.68/553.36 = 186.28/x
  3. Step 3: Cross multiply
    368.68x = 553.36 × 186.28
  4. Step 4: Simplify right side
    368.68x = 103,079.90
  5. Step 5: Solve for x
    x = 103,079.90/368.68
  6. Step 6: Final answer
    x = 279.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.