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Finding the Fourth Proportional to 364.16, 546.09 and 147.68

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Solution

The fourth proportional to 364.16, 546.09 and 147.68 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 546.09 = 147.68 : x
  2. Step 2: Convert to fraction form
    364.16/546.09 = 147.68/x
  3. Step 3: Cross multiply
    364.16x = 546.09 × 147.68
  4. Step 4: Simplify right side
    364.16x = 80,646.57
  5. Step 5: Solve for x
    x = 80,646.57/364.16
  6. Step 6: Final answer
    x = 221.46

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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.