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Finding the Fourth Proportional to 397.50, 596.15 and 178.00

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Solution

The fourth proportional to 397.50, 596.15 and 178.00 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 596.15 = 178.00 : x
  2. Step 2: Convert to fraction form
    397.50/596.15 = 178.00/x
  3. Step 3: Cross multiply
    397.50x = 596.15 × 178.00
  4. Step 4: Simplify right side
    397.50x = 106,114.16
  5. Step 5: Solve for x
    x = 106,114.16/397.50
  6. Step 6: Final answer
    x = 266.96

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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.