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Finding the Fourth Proportional to 201.58, 278.06 and 157.30

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Solution

The fourth proportional to 201.58, 278.06 and 157.30 is: 216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 278.06 = 157.30 : x
  2. Step 2: Convert to fraction form
    201.58/278.06 = 157.30/x
  3. Step 3: Cross multiply
    201.58x = 278.06 × 157.30
  4. Step 4: Simplify right side
    201.58x = 43,738.84
  5. Step 5: Solve for x
    x = 43,738.84/201.58
  6. Step 6: Final answer
    x = 216.98

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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.