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Finding the Fourth Proportional to 665.58, 998.36 and 203.40

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Solution

The fourth proportional to 665.58, 998.36 and 203.40 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.58 : 998.36 = 203.40 : x
  2. Step 2: Convert to fraction form
    665.58/998.36 = 203.40/x
  3. Step 3: Cross multiply
    665.58x = 998.36 × 203.40
  4. Step 4: Simplify right side
    665.58x = 203,066.42
  5. Step 5: Solve for x
    x = 203,066.42/665.58
  6. Step 6: Final answer
    x = 305.10

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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.