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Finding the Fourth Proportional to 505.82, 758.59 and 140.63

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Solution

The fourth proportional to 505.82, 758.59 and 140.63 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.82 : 758.59 = 140.63 : x
  2. Step 2: Convert to fraction form
    505.82/758.59 = 140.63/x
  3. Step 3: Cross multiply
    505.82x = 758.59 × 140.63
  4. Step 4: Simplify right side
    505.82x = 106,680.51
  5. Step 5: Solve for x
    x = 106,680.51/505.82
  6. Step 6: Final answer
    x = 210.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.