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Finding the Fourth Proportional to 152.02, 228.17 and 83.50

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Solution

The fourth proportional to 152.02, 228.17 and 83.50 is: 125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 228.17 = 83.50 : x
  2. Step 2: Convert to fraction form
    152.02/228.17 = 83.50/x
  3. Step 3: Cross multiply
    152.02x = 228.17 × 83.50
  4. Step 4: Simplify right side
    152.02x = 19,052.20
  5. Step 5: Solve for x
    x = 19,052.20/152.02
  6. Step 6: Final answer
    x = 125.33

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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.