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Finding the Fourth Proportional to 288.21, 397.84 and 177.67

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Solution

The fourth proportional to 288.21, 397.84 and 177.67 is: 245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.21 : 397.84 = 177.67 : x
  2. Step 2: Convert to fraction form
    288.21/397.84 = 177.67/x
  3. Step 3: Cross multiply
    288.21x = 397.84 × 177.67
  4. Step 4: Simplify right side
    288.21x = 70,683.00
  5. Step 5: Solve for x
    x = 70,683.00/288.21
  6. Step 6: Final answer
    x = 245.25

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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.