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Finding the Fourth Proportional to 266.69, 368.03 and 150.25

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Solution

The fourth proportional to 266.69, 368.03 and 150.25 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.69 : 368.03 = 150.25 : x
  2. Step 2: Convert to fraction form
    266.69/368.03 = 150.25/x
  3. Step 3: Cross multiply
    266.69x = 368.03 × 150.25
  4. Step 4: Simplify right side
    266.69x = 55,296.51
  5. Step 5: Solve for x
    x = 55,296.51/266.69
  6. Step 6: Final answer
    x = 207.34

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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.