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Finding the Fourth Proportional to 152.52, 228.26 and 121.77

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Solution

The fourth proportional to 152.52, 228.26 and 121.77 is: 182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 228.26 = 121.77 : x
  2. Step 2: Convert to fraction form
    152.52/228.26 = 121.77/x
  3. Step 3: Cross multiply
    152.52x = 228.26 × 121.77
  4. Step 4: Simplify right side
    152.52x = 27,794.61
  5. Step 5: Solve for x
    x = 27,794.61/152.52
  6. Step 6: Final answer
    x = 182.24

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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.