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Finding the Fourth Proportional to 152.76, 228.02 and 134.54

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Solution

The fourth proportional to 152.76, 228.02 and 134.54 is: 200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.76 : 228.02 = 134.54 : x
  2. Step 2: Convert to fraction form
    152.76/228.02 = 134.54/x
  3. Step 3: Cross multiply
    152.76x = 228.02 × 134.54
  4. Step 4: Simplify right side
    152.76x = 30,677.01
  5. Step 5: Solve for x
    x = 30,677.01/152.76
  6. Step 6: Final answer
    x = 200.82

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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.