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Finding the Fourth Proportional to 156.50, 216.15 and 107.30

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Solution

The fourth proportional to 156.50, 216.15 and 107.30 is: 148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 216.15 = 107.30 : x
  2. Step 2: Convert to fraction form
    156.50/216.15 = 107.30/x
  3. Step 3: Cross multiply
    156.50x = 216.15 × 107.30
  4. Step 4: Simplify right side
    156.50x = 23,191.81
  5. Step 5: Solve for x
    x = 23,191.81/156.50
  6. Step 6: Final answer
    x = 148.19

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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.