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Finding the Fourth Proportional to 156.29, 233.32 and 135.79

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Solution

The fourth proportional to 156.29, 233.32 and 135.79 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.29 : 233.32 = 135.79 : x
  2. Step 2: Convert to fraction form
    156.29/233.32 = 135.79/x
  3. Step 3: Cross multiply
    156.29x = 233.32 × 135.79
  4. Step 4: Simplify right side
    156.29x = 31,682.47
  5. Step 5: Solve for x
    x = 31,682.47/156.29
  6. Step 6: Final answer
    x = 202.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.