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Finding the Fourth Proportional to 224.81, 310.50 and 151

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Solution

The fourth proportional to 224.81, 310.50 and 151 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.81 : 310.50 = 151 : x
  2. Step 2: Convert to fraction form
    224.81/310.50 = 151/x
  3. Step 3: Cross multiply
    224.81x = 310.50 × 151
  4. Step 4: Simplify right side
    224.81x = 46,885.50
  5. Step 5: Solve for x
    x = 46,885.50/224.81
  6. Step 6: Final answer
    x = 208.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.