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Finding the Fourth Proportional to 152.57, 228.98 and 142.96

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Solution

The fourth proportional to 152.57, 228.98 and 142.96 is: 214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 228.98 = 142.96 : x
  2. Step 2: Convert to fraction form
    152.57/228.98 = 142.96/x
  3. Step 3: Cross multiply
    152.57x = 228.98 × 142.96
  4. Step 4: Simplify right side
    152.57x = 32,735.05
  5. Step 5: Solve for x
    x = 32,735.05/152.57
  6. Step 6: Final answer
    x = 214.56

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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.