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Finding the Fourth Proportional to 429.09, 643.47 and 165.51

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Solution

The fourth proportional to 429.09, 643.47 and 165.51 is: 248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 643.47 = 165.51 : x
  2. Step 2: Convert to fraction form
    429.09/643.47 = 165.51/x
  3. Step 3: Cross multiply
    429.09x = 643.47 × 165.51
  4. Step 4: Simplify right side
    429.09x = 106,500.72
  5. Step 5: Solve for x
    x = 106,500.72/429.09
  6. Step 6: Final answer
    x = 248.20

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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.