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Finding the Fourth Proportional to 266.51, 399.77 and 102.06

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Solution

The fourth proportional to 266.51, 399.77 and 102.06 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.51 : 399.77 = 102.06 : x
  2. Step 2: Convert to fraction form
    266.51/399.77 = 102.06/x
  3. Step 3: Cross multiply
    266.51x = 399.77 × 102.06
  4. Step 4: Simplify right side
    266.51x = 40,800.78
  5. Step 5: Solve for x
    x = 40,800.78/266.51
  6. Step 6: Final answer
    x = 153.09

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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.