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Finding the Fourth Proportional to 147.84, 222.77 and 143.52

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Solution

The fourth proportional to 147.84, 222.77 and 143.52 is: 216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 222.77 = 143.52 : x
  2. Step 2: Convert to fraction form
    147.84/222.77 = 143.52/x
  3. Step 3: Cross multiply
    147.84x = 222.77 × 143.52
  4. Step 4: Simplify right side
    147.84x = 31,971.23
  5. Step 5: Solve for x
    x = 31,971.23/147.84
  6. Step 6: Final answer
    x = 216.26

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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.