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Finding the Fourth Proportional to 152.23, 228.02 and 111.07

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Solution

The fourth proportional to 152.23, 228.02 and 111.07 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 228.02 = 111.07 : x
  2. Step 2: Convert to fraction form
    152.23/228.02 = 111.07/x
  3. Step 3: Cross multiply
    152.23x = 228.02 × 111.07
  4. Step 4: Simplify right side
    152.23x = 25,325.89
  5. Step 5: Solve for x
    x = 25,325.89/152.23
  6. Step 6: Final answer
    x = 166.37

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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.