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Finding the Fourth Proportional to 196.42, 270.75 and 152.77

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Solution

The fourth proportional to 196.42, 270.75 and 152.77 is: 210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 270.75 = 152.77 : x
  2. Step 2: Convert to fraction form
    196.42/270.75 = 152.77/x
  3. Step 3: Cross multiply
    196.42x = 270.75 × 152.77
  4. Step 4: Simplify right side
    196.42x = 41,362.48
  5. Step 5: Solve for x
    x = 41,362.48/196.42
  6. Step 6: Final answer
    x = 210.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.