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Finding the Fourth Proportional to 242.58, 334.77 and 143.01

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Solution

The fourth proportional to 242.58, 334.77 and 143.01 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 334.77 = 143.01 : x
  2. Step 2: Convert to fraction form
    242.58/334.77 = 143.01/x
  3. Step 3: Cross multiply
    242.58x = 334.77 × 143.01
  4. Step 4: Simplify right side
    242.58x = 47,874.58
  5. Step 5: Solve for x
    x = 47,874.58/242.58
  6. Step 6: Final answer
    x = 197.35

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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.