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Finding the Fourth Proportional to 152.86, 211.90 and 147.82

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Solution

The fourth proportional to 152.86, 211.90 and 147.82 is: 204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.86 : 211.90 = 147.82 : x
  2. Step 2: Convert to fraction form
    152.86/211.90 = 147.82/x
  3. Step 3: Cross multiply
    152.86x = 211.90 × 147.82
  4. Step 4: Simplify right side
    152.86x = 31,323.06
  5. Step 5: Solve for x
    x = 31,323.06/152.86
  6. Step 6: Final answer
    x = 204.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.