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Finding the Fourth Proportional to 147.64, 218.44 and 147.16

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Solution

The fourth proportional to 147.64, 218.44 and 147.16 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 218.44 = 147.16 : x
  2. Step 2: Convert to fraction form
    147.64/218.44 = 147.16/x
  3. Step 3: Cross multiply
    147.64x = 218.44 × 147.16
  4. Step 4: Simplify right side
    147.64x = 32,145.63
  5. Step 5: Solve for x
    x = 32,145.63/147.64
  6. Step 6: Final answer
    x = 217.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.