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Finding the Fourth Proportional to 228.47, 315.02 and 141.06

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Solution

The fourth proportional to 228.47, 315.02 and 141.06 is: 194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.47 : 315.02 = 141.06 : x
  2. Step 2: Convert to fraction form
    228.47/315.02 = 141.06/x
  3. Step 3: Cross multiply
    228.47x = 315.02 × 141.06
  4. Step 4: Simplify right side
    228.47x = 44,436.02
  5. Step 5: Solve for x
    x = 44,436.02/228.47
  6. Step 6: Final answer
    x = 194.50

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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.