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Finding the Fourth Proportional to 245.82, 368.99 and 177.72

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Solution

The fourth proportional to 245.82, 368.99 and 177.72 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 368.99 = 177.72 : x
  2. Step 2: Convert to fraction form
    245.82/368.99 = 177.72/x
  3. Step 3: Cross multiply
    245.82x = 368.99 × 177.72
  4. Step 4: Simplify right side
    245.82x = 65,576.01
  5. Step 5: Solve for x
    x = 65,576.01/245.82
  6. Step 6: Final answer
    x = 266.76

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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.