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Finding the Fourth Proportional to 165.99, 247.29 and 158.25

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Solution

The fourth proportional to 165.99, 247.29 and 158.25 is: 235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 247.29 = 158.25 : x
  2. Step 2: Convert to fraction form
    165.99/247.29 = 158.25/x
  3. Step 3: Cross multiply
    165.99x = 247.29 × 158.25
  4. Step 4: Simplify right side
    165.99x = 39,133.64
  5. Step 5: Solve for x
    x = 39,133.64/165.99
  6. Step 6: Final answer
    x = 235.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.