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Finding the Fourth Proportional to 364.48, 546.86 and 148.12

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Solution

The fourth proportional to 364.48, 546.86 and 148.12 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.48 : 546.86 = 148.12 : x
  2. Step 2: Convert to fraction form
    364.48/546.86 = 148.12/x
  3. Step 3: Cross multiply
    364.48x = 546.86 × 148.12
  4. Step 4: Simplify right side
    364.48x = 81,000.90
  5. Step 5: Solve for x
    x = 81,000.90/364.48
  6. Step 6: Final answer
    x = 222.24

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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.