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Finding the Fourth Proportional to 201.58, 302.16 and 110.08

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Solution

The fourth proportional to 201.58, 302.16 and 110.08 is: 165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 302.16 = 110.08 : x
  2. Step 2: Convert to fraction form
    201.58/302.16 = 110.08/x
  3. Step 3: Cross multiply
    201.58x = 302.16 × 110.08
  4. Step 4: Simplify right side
    201.58x = 33,261.77
  5. Step 5: Solve for x
    x = 33,261.77/201.58
  6. Step 6: Final answer
    x = 165.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.