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Finding the Fourth Proportional to 156.16, 214.80 and 136.48

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Solution

The fourth proportional to 156.16, 214.80 and 136.48 is: 187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 214.80 = 136.48 : x
  2. Step 2: Convert to fraction form
    156.16/214.80 = 136.48/x
  3. Step 3: Cross multiply
    156.16x = 214.80 × 136.48
  4. Step 4: Simplify right side
    156.16x = 29,315.90
  5. Step 5: Solve for x
    x = 29,315.90/156.16
  6. Step 6: Final answer
    x = 187.73

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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.