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Finding the Fourth Proportional to 288.10, 397.47 and 176.01

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Solution

The fourth proportional to 288.10, 397.47 and 176.01 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 397.47 = 176.01 : x
  2. Step 2: Convert to fraction form
    288.10/397.47 = 176.01/x
  3. Step 3: Cross multiply
    288.10x = 397.47 × 176.01
  4. Step 4: Simplify right side
    288.10x = 69,958.69
  5. Step 5: Solve for x
    x = 69,958.69/288.10
  6. Step 6: Final answer
    x = 242.83

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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.