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Finding the Fourth Proportional to 661.58, 992.37 and 199.40

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Solution

The fourth proportional to 661.58, 992.37 and 199.40 is: 299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.58 : 992.37 = 199.40 : x
  2. Step 2: Convert to fraction form
    661.58/992.37 = 199.40/x
  3. Step 3: Cross multiply
    661.58x = 992.37 × 199.40
  4. Step 4: Simplify right side
    661.58x = 197,877.58
  5. Step 5: Solve for x
    x = 197,877.58/661.58
  6. Step 6: Final answer
    x = 299.10

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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.