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Finding the Fourth Proportional to 538.94, 808.40 and 154.18

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Solution

The fourth proportional to 538.94, 808.40 and 154.18 is: 231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 808.40 = 154.18 : x
  2. Step 2: Convert to fraction form
    538.94/808.40 = 154.18/x
  3. Step 3: Cross multiply
    538.94x = 808.40 × 154.18
  4. Step 4: Simplify right side
    538.94x = 124,639.11
  5. Step 5: Solve for x
    x = 124,639.11/538.94
  6. Step 6: Final answer
    x = 231.27

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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.