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Finding the Fourth Proportional to 153.22, 211.18 and 118.23

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Solution

The fourth proportional to 153.22, 211.18 and 118.23 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.22 : 211.18 = 118.23 : x
  2. Step 2: Convert to fraction form
    153.22/211.18 = 118.23/x
  3. Step 3: Cross multiply
    153.22x = 211.18 × 118.23
  4. Step 4: Simplify right side
    153.22x = 24,969.06
  5. Step 5: Solve for x
    x = 24,969.06/153.22
  6. Step 6: Final answer
    x = 162.96

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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.