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Finding the Fourth Proportional to 630.08, 944.98 and 197.00

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Solution

The fourth proportional to 630.08, 944.98 and 197.00 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.08 : 944.98 = 197.00 : x
  2. Step 2: Convert to fraction form
    630.08/944.98 = 197.00/x
  3. Step 3: Cross multiply
    630.08x = 944.98 × 197.00
  4. Step 4: Simplify right side
    630.08x = 186,155.84
  5. Step 5: Solve for x
    x = 186,155.84/630.08
  6. Step 6: Final answer
    x = 295.45

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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.