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Finding the Fourth Proportional to 147.16, 222.07 and 142.60

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Solution

The fourth proportional to 147.16, 222.07 and 142.60 is: 215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.16 : 222.07 = 142.60 : x
  2. Step 2: Convert to fraction form
    147.16/222.07 = 142.60/x
  3. Step 3: Cross multiply
    147.16x = 222.07 × 142.60
  4. Step 4: Simplify right side
    147.16x = 31,667.18
  5. Step 5: Solve for x
    x = 31,667.18/147.16
  6. Step 6: Final answer
    x = 215.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.