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Finding the Fourth Proportional to 364.96, 547.24 and 148.36

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Solution

The fourth proportional to 364.96, 547.24 and 148.36 is: 222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.96 : 547.24 = 148.36 : x
  2. Step 2: Convert to fraction form
    364.96/547.24 = 148.36/x
  3. Step 3: Cross multiply
    364.96x = 547.24 × 148.36
  4. Step 4: Simplify right side
    364.96x = 81,188.53
  5. Step 5: Solve for x
    x = 81,188.53/364.96
  6. Step 6: Final answer
    x = 222.46

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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.