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Finding the Fourth Proportional to 147.32, 202.80 and 139.64

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Solution

The fourth proportional to 147.32, 202.80 and 139.64 is: 192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.32 : 202.80 = 139.64 : x
  2. Step 2: Convert to fraction form
    147.32/202.80 = 139.64/x
  3. Step 3: Cross multiply
    147.32x = 202.80 × 139.64
  4. Step 4: Simplify right side
    147.32x = 28,318.99
  5. Step 5: Solve for x
    x = 28,318.99/147.32
  6. Step 6: Final answer
    x = 192.23

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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.