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Finding the Fourth Proportional to 364.92, 547.66 and 148.64

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Solution

The fourth proportional to 364.92, 547.66 and 148.64 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 547.66 = 148.64 : x
  2. Step 2: Convert to fraction form
    364.92/547.66 = 148.64/x
  3. Step 3: Cross multiply
    364.92x = 547.66 × 148.64
  4. Step 4: Simplify right side
    364.92x = 81,404.18
  5. Step 5: Solve for x
    x = 81,404.18/364.92
  6. Step 6: Final answer
    x = 223.07

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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.