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Finding the Fourth Proportional to 665.30, 997.93 and 203.06

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Solution

The fourth proportional to 665.30, 997.93 and 203.06 is: 304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.30 : 997.93 = 203.06 : x
  2. Step 2: Convert to fraction form
    665.30/997.93 = 203.06/x
  3. Step 3: Cross multiply
    665.30x = 997.93 × 203.06
  4. Step 4: Simplify right side
    665.30x = 202,639.67
  5. Step 5: Solve for x
    x = 202,639.67/665.30
  6. Step 6: Final answer
    x = 304.58

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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.