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Finding the Fourth Proportional to 364.59, 547.14 and 148.23

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Solution

The fourth proportional to 364.59, 547.14 and 148.23 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 547.14 = 148.23 : x
  2. Step 2: Convert to fraction form
    364.59/547.14 = 148.23/x
  3. Step 3: Cross multiply
    364.59x = 547.14 × 148.23
  4. Step 4: Simplify right side
    364.59x = 81,102.56
  5. Step 5: Solve for x
    x = 81,102.56/364.59
  6. Step 6: Final answer
    x = 222.45

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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.