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Finding the Fourth Proportional to 364.34, 546.78 and 148.07

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Solution

The fourth proportional to 364.34, 546.78 and 148.07 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 546.78 = 148.07 : x
  2. Step 2: Convert to fraction form
    364.34/546.78 = 148.07/x
  3. Step 3: Cross multiply
    364.34x = 546.78 × 148.07
  4. Step 4: Simplify right side
    364.34x = 80,961.71
  5. Step 5: Solve for x
    x = 80,961.71/364.34
  6. Step 6: Final answer
    x = 222.21

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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.