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Finding the Fourth Proportional to 364.62, 546.88 and 148.13

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Solution

The fourth proportional to 364.62, 546.88 and 148.13 is: 222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.62 : 546.88 = 148.13 : x
  2. Step 2: Convert to fraction form
    364.62/546.88 = 148.13/x
  3. Step 3: Cross multiply
    364.62x = 546.88 × 148.13
  4. Step 4: Simplify right side
    364.62x = 81,009.33
  5. Step 5: Solve for x
    x = 81,009.33/364.62
  6. Step 6: Final answer
    x = 222.17

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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.