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Finding the Fourth Proportional to 156.07, 215.76 and 149.50

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Solution

The fourth proportional to 156.07, 215.76 and 149.50 is: 206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.07 : 215.76 = 149.50 : x
  2. Step 2: Convert to fraction form
    156.07/215.76 = 149.50/x
  3. Step 3: Cross multiply
    156.07x = 215.76 × 149.50
  4. Step 4: Simplify right side
    156.07x = 32,256.12
  5. Step 5: Solve for x
    x = 32,256.12/156.07
  6. Step 6: Final answer
    x = 206.68

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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.