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Finding the Fourth Proportional to 152.96, 228.13 and 137.46

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Solution

The fourth proportional to 152.96, 228.13 and 137.46 is: 205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 228.13 = 137.46 : x
  2. Step 2: Convert to fraction form
    152.96/228.13 = 137.46/x
  3. Step 3: Cross multiply
    152.96x = 228.13 × 137.46
  4. Step 4: Simplify right side
    152.96x = 31,360.03
  5. Step 5: Solve for x
    x = 31,360.03/152.96
  6. Step 6: Final answer
    x = 205.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.