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Finding the Fourth Proportional to 358.10, 537.14 and 193.64

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Solution

The fourth proportional to 358.10, 537.14 and 193.64 is: 290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.10 : 537.14 = 193.64 : x
  2. Step 2: Convert to fraction form
    358.10/537.14 = 193.64/x
  3. Step 3: Cross multiply
    358.10x = 537.14 × 193.64
  4. Step 4: Simplify right side
    358.10x = 104,011.79
  5. Step 5: Solve for x
    x = 104,011.79/358.10
  6. Step 6: Final answer
    x = 290.45

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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.