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Finding the Fourth Proportional to 538.90, 808.35 and 154.15

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Solution

The fourth proportional to 538.90, 808.35 and 154.15 is: 231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.90 : 808.35 = 154.15 : x
  2. Step 2: Convert to fraction form
    538.90/808.35 = 154.15/x
  3. Step 3: Cross multiply
    538.90x = 808.35 × 154.15
  4. Step 4: Simplify right side
    538.90x = 124,607.15
  5. Step 5: Solve for x
    x = 124,607.15/538.90
  6. Step 6: Final answer
    x = 231.23

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Why These Related Problems?

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