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Finding the Fourth Proportional to 202.47, 279.36 and 119.58

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Solution

The fourth proportional to 202.47, 279.36 and 119.58 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.47 : 279.36 = 119.58 : x
  2. Step 2: Convert to fraction form
    202.47/279.36 = 119.58/x
  3. Step 3: Cross multiply
    202.47x = 279.36 × 119.58
  4. Step 4: Simplify right side
    202.47x = 33,405.87
  5. Step 5: Solve for x
    x = 33,405.87/202.47
  6. Step 6: Final answer
    x = 164.99

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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.