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Finding the Fourth Proportional to 152.37, 228.27 and 149.13

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Solution

The fourth proportional to 152.37, 228.27 and 149.13 is: 223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.37 : 228.27 = 149.13 : x
  2. Step 2: Convert to fraction form
    152.37/228.27 = 149.13/x
  3. Step 3: Cross multiply
    152.37x = 228.27 × 149.13
  4. Step 4: Simplify right side
    152.37x = 34,041.91
  5. Step 5: Solve for x
    x = 34,041.91/152.37
  6. Step 6: Final answer
    x = 223.42

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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.