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Finding the Fourth Proportional to 451.66, 677.49 and 143.51

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Solution

The fourth proportional to 451.66, 677.49 and 143.51 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.66 : 677.49 = 143.51 : x
  2. Step 2: Convert to fraction form
    451.66/677.49 = 143.51/x
  3. Step 3: Cross multiply
    451.66x = 677.49 × 143.51
  4. Step 4: Simplify right side
    451.66x = 97,228.64
  5. Step 5: Solve for x
    x = 97,228.64/451.66
  6. Step 6: Final answer
    x = 215.27

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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.