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Finding the Fourth Proportional to 202.58, 279.56 and 114.07

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Solution

The fourth proportional to 202.58, 279.56 and 114.07 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 279.56 = 114.07 : x
  2. Step 2: Convert to fraction form
    202.58/279.56 = 114.07/x
  3. Step 3: Cross multiply
    202.58x = 279.56 × 114.07
  4. Step 4: Simplify right side
    202.58x = 31,888.41
  5. Step 5: Solve for x
    x = 31,888.41/202.58
  6. Step 6: Final answer
    x = 157.41

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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.