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Finding the Fourth Proportional to 156.19, 215.49 and 101.00

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Solution

The fourth proportional to 156.19, 215.49 and 101.00 is: 139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.19 : 215.49 = 101.00 : x
  2. Step 2: Convert to fraction form
    156.19/215.49 = 101.00/x
  3. Step 3: Cross multiply
    156.19x = 215.49 × 101.00
  4. Step 4: Simplify right side
    156.19x = 21,763.95
  5. Step 5: Solve for x
    x = 21,763.95/156.19
  6. Step 6: Final answer
    x = 139.34

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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.