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Finding the Fourth Proportional to 152.86, 209.57 and 150.13

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Solution

The fourth proportional to 152.86, 209.57 and 150.13 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.86 : 209.57 = 150.13 : x
  2. Step 2: Convert to fraction form
    152.86/209.57 = 150.13/x
  3. Step 3: Cross multiply
    152.86x = 209.57 × 150.13
  4. Step 4: Simplify right side
    152.86x = 31,461.32
  5. Step 5: Solve for x
    x = 31,461.32/152.86
  6. Step 6: Final answer
    x = 205.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.