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Finding the Fourth Proportional to 288.23, 397.76 and 157.24

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Solution

The fourth proportional to 288.23, 397.76 and 157.24 is: 216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 397.76 = 157.24 : x
  2. Step 2: Convert to fraction form
    288.23/397.76 = 157.24/x
  3. Step 3: Cross multiply
    288.23x = 397.76 × 157.24
  4. Step 4: Simplify right side
    288.23x = 62,542.89
  5. Step 5: Solve for x
    x = 62,542.89/288.23
  6. Step 6: Final answer
    x = 216.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.