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Finding the Fourth Proportional to 266.36, 398.58 and 189.08

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Solution

The fourth proportional to 266.36, 398.58 and 189.08 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.36 : 398.58 = 189.08 : x
  2. Step 2: Convert to fraction form
    266.36/398.58 = 189.08/x
  3. Step 3: Cross multiply
    266.36x = 398.58 × 189.08
  4. Step 4: Simplify right side
    266.36x = 75,363.51
  5. Step 5: Solve for x
    x = 75,363.51/266.36
  6. Step 6: Final answer
    x = 282.94

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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.