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Finding the Fourth Proportional to 152.41, 228.63 and 79.27

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Solution

The fourth proportional to 152.41, 228.63 and 79.27 is: 118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 228.63 = 79.27 : x
  2. Step 2: Convert to fraction form
    152.41/228.63 = 79.27/x
  3. Step 3: Cross multiply
    152.41x = 228.63 × 79.27
  4. Step 4: Simplify right side
    152.41x = 18,123.50
  5. Step 5: Solve for x
    x = 18,123.50/152.41
  6. Step 6: Final answer
    x = 118.91

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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.