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Finding the Fourth Proportional to 364.93, 548.10 and 228.25

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Solution

The fourth proportional to 364.93, 548.10 and 228.25 is: 342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 548.10 = 228.25 : x
  2. Step 2: Convert to fraction form
    364.93/548.10 = 228.25/x
  3. Step 3: Cross multiply
    364.93x = 548.10 × 228.25
  4. Step 4: Simplify right side
    364.93x = 125,103.83
  5. Step 5: Solve for x
    x = 125,103.83/364.93
  6. Step 6: Final answer
    x = 342.82

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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.