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Finding the Fourth Proportional to 156.50, 216.07 and 140.10

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Solution

The fourth proportional to 156.50, 216.07 and 140.10 is: 193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 216.07 = 140.10 : x
  2. Step 2: Convert to fraction form
    156.50/216.07 = 140.10/x
  3. Step 3: Cross multiply
    156.50x = 216.07 × 140.10
  4. Step 4: Simplify right side
    156.50x = 30,271.76
  5. Step 5: Solve for x
    x = 30,271.76/156.50
  6. Step 6: Final answer
    x = 193.43

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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.