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Finding the Fourth Proportional to 262.91, 362.75 and 158.01

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Solution

The fourth proportional to 262.91, 362.75 and 158.01 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.91 : 362.75 = 158.01 : x
  2. Step 2: Convert to fraction form
    262.91/362.75 = 158.01/x
  3. Step 3: Cross multiply
    262.91x = 362.75 × 158.01
  4. Step 4: Simplify right side
    262.91x = 57,317.34
  5. Step 5: Solve for x
    x = 57,317.34/262.91
  6. Step 6: Final answer
    x = 218.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.