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Finding the Fourth Proportional to 288.05, 397.50 and 157.05

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Solution

The fourth proportional to 288.05, 397.50 and 157.05 is: 216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.05 : 397.50 = 157.05 : x
  2. Step 2: Convert to fraction form
    288.05/397.50 = 157.05/x
  3. Step 3: Cross multiply
    288.05x = 397.50 × 157.05
  4. Step 4: Simplify right side
    288.05x = 62,429.45
  5. Step 5: Solve for x
    x = 62,429.45/288.05
  6. Step 6: Final answer
    x = 216.73

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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.