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Finding the Fourth Proportional to 156.40, 233.62 and 132.16

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Solution

The fourth proportional to 156.40, 233.62 and 132.16 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.40 : 233.62 = 132.16 : x
  2. Step 2: Convert to fraction form
    156.40/233.62 = 132.16/x
  3. Step 3: Cross multiply
    156.40x = 233.62 × 132.16
  4. Step 4: Simplify right side
    156.40x = 30,875.22
  5. Step 5: Solve for x
    x = 30,875.22/156.40
  6. Step 6: Final answer
    x = 197.41

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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.