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Finding the Fourth Proportional to 597.81, 896.90 and 186.99

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Solution

The fourth proportional to 597.81, 896.90 and 186.99 is: 280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.81 : 896.90 = 186.99 : x
  2. Step 2: Convert to fraction form
    597.81/896.90 = 186.99/x
  3. Step 3: Cross multiply
    597.81x = 896.90 × 186.99
  4. Step 4: Simplify right side
    597.81x = 167,710.40
  5. Step 5: Solve for x
    x = 167,710.40/597.81
  6. Step 6: Final answer
    x = 280.54

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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.