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Finding the Fourth Proportional to 358.90, 538.36 and 98.89

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Solution

The fourth proportional to 358.90, 538.36 and 98.89 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.90 : 538.36 = 98.89 : x
  2. Step 2: Convert to fraction form
    358.90/538.36 = 98.89/x
  3. Step 3: Cross multiply
    358.90x = 538.36 × 98.89
  4. Step 4: Simplify right side
    358.90x = 53,236.83
  5. Step 5: Solve for x
    x = 53,236.83/358.90
  6. Step 6: Final answer
    x = 148.33

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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.