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Finding the Fourth Proportional to 662.93, 994.28 and 176.02

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Solution

The fourth proportional to 662.93, 994.28 and 176.02 is: 264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.93 : 994.28 = 176.02 : x
  2. Step 2: Convert to fraction form
    662.93/994.28 = 176.02/x
  3. Step 3: Cross multiply
    662.93x = 994.28 × 176.02
  4. Step 4: Simplify right side
    662.93x = 175,015.39
  5. Step 5: Solve for x
    x = 175,015.39/662.93
  6. Step 6: Final answer
    x = 264.00

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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.