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Finding the Fourth Proportional to 149.16, 205.72 and 118.02

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Solution

The fourth proportional to 149.16, 205.72 and 118.02 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 205.72 = 118.02 : x
  2. Step 2: Convert to fraction form
    149.16/205.72 = 118.02/x
  3. Step 3: Cross multiply
    149.16x = 205.72 × 118.02
  4. Step 4: Simplify right side
    149.16x = 24,279.07
  5. Step 5: Solve for x
    x = 24,279.07/149.16
  6. Step 6: Final answer
    x = 162.77

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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.