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Finding the Fourth Proportional to 152.27, 228.51 and 142.15

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Solution

The fourth proportional to 152.27, 228.51 and 142.15 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.27 : 228.51 = 142.15 : x
  2. Step 2: Convert to fraction form
    152.27/228.51 = 142.15/x
  3. Step 3: Cross multiply
    152.27x = 228.51 × 142.15
  4. Step 4: Simplify right side
    152.27x = 32,482.13
  5. Step 5: Solve for x
    x = 32,482.13/152.27
  6. Step 6: Final answer
    x = 213.32

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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.