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Finding the Fourth Proportional to 364.90, 547.63 and 148.66

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Solution

The fourth proportional to 364.90, 547.63 and 148.66 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.90 : 547.63 = 148.66 : x
  2. Step 2: Convert to fraction form
    364.90/547.63 = 148.66/x
  3. Step 3: Cross multiply
    364.90x = 547.63 × 148.66
  4. Step 4: Simplify right side
    364.90x = 81,410.68
  5. Step 5: Solve for x
    x = 81,410.68/364.90
  6. Step 6: Final answer
    x = 223.10

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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.