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Finding the Fourth Proportional to 244.81, 364.75 and 228.25

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Solution

The fourth proportional to 244.81, 364.75 and 228.25 is: 340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.81 : 364.75 = 228.25 : x
  2. Step 2: Convert to fraction form
    244.81/364.75 = 228.25/x
  3. Step 3: Cross multiply
    244.81x = 364.75 × 228.25
  4. Step 4: Simplify right side
    244.81x = 83,254.19
  5. Step 5: Solve for x
    x = 83,254.19/244.81
  6. Step 6: Final answer
    x = 340.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.