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Finding the Fourth Proportional to 156.13, 233.03 and 138.11

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Solution

The fourth proportional to 156.13, 233.03 and 138.11 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 233.03 = 138.11 : x
  2. Step 2: Convert to fraction form
    156.13/233.03 = 138.11/x
  3. Step 3: Cross multiply
    156.13x = 233.03 × 138.11
  4. Step 4: Simplify right side
    156.13x = 32,182.18
  5. Step 5: Solve for x
    x = 32,182.18/156.13
  6. Step 6: Final answer
    x = 206.13

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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.