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Finding the Fourth Proportional to 152.75, 228.91 and 137.77

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Solution

The fourth proportional to 152.75, 228.91 and 137.77 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.75 : 228.91 = 137.77 : x
  2. Step 2: Convert to fraction form
    152.75/228.91 = 137.77/x
  3. Step 3: Cross multiply
    152.75x = 228.91 × 137.77
  4. Step 4: Simplify right side
    152.75x = 31,536.93
  5. Step 5: Solve for x
    x = 31,536.93/152.75
  6. Step 6: Final answer
    x = 206.46

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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.