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Finding the Fourth Proportional to 229.94, 345.27 and 151.98

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Solution

The fourth proportional to 229.94, 345.27 and 151.98 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.94 : 345.27 = 151.98 : x
  2. Step 2: Convert to fraction form
    229.94/345.27 = 151.98/x
  3. Step 3: Cross multiply
    229.94x = 345.27 × 151.98
  4. Step 4: Simplify right side
    229.94x = 52,474.13
  5. Step 5: Solve for x
    x = 52,474.13/229.94
  6. Step 6: Final answer
    x = 228.21

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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.