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Finding the Fourth Proportional to 147.12, 201.60 and 146.16

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Solution

The fourth proportional to 147.12, 201.60 and 146.16 is: 200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 201.60 = 146.16 : x
  2. Step 2: Convert to fraction form
    147.12/201.60 = 146.16/x
  3. Step 3: Cross multiply
    147.12x = 201.60 × 146.16
  4. Step 4: Simplify right side
    147.12x = 29,465.86
  5. Step 5: Solve for x
    x = 29,465.86/147.12
  6. Step 6: Final answer
    x = 200.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.