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Finding the Fourth Proportional to 266.79, 368.37 and 188.13

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Solution

The fourth proportional to 266.79, 368.37 and 188.13 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 368.37 = 188.13 : x
  2. Step 2: Convert to fraction form
    266.79/368.37 = 188.13/x
  3. Step 3: Cross multiply
    266.79x = 368.37 × 188.13
  4. Step 4: Simplify right side
    266.79x = 69,301.45
  5. Step 5: Solve for x
    x = 69,301.45/266.79
  6. Step 6: Final answer
    x = 259.76

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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.