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Finding the Fourth Proportional to 364.56, 546.87 and 148.14

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Solution

The fourth proportional to 364.56, 546.87 and 148.14 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.56 : 546.87 = 148.14 : x
  2. Step 2: Convert to fraction form
    364.56/546.87 = 148.14/x
  3. Step 3: Cross multiply
    364.56x = 546.87 × 148.14
  4. Step 4: Simplify right side
    364.56x = 81,013.32
  5. Step 5: Solve for x
    x = 81,013.32/364.56
  6. Step 6: Final answer
    x = 222.22

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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.