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Finding the Fourth Proportional to 245.67, 368.31 and 148.03

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Solution

The fourth proportional to 245.67, 368.31 and 148.03 is: 221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.67 : 368.31 = 148.03 : x
  2. Step 2: Convert to fraction form
    245.67/368.31 = 148.03/x
  3. Step 3: Cross multiply
    245.67x = 368.31 × 148.03
  4. Step 4: Simplify right side
    245.67x = 54,520.93
  5. Step 5: Solve for x
    x = 54,520.93/245.67
  6. Step 6: Final answer
    x = 221.93

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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.