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Finding the Fourth Proportional to 505.24, 757.82 and 140.06

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Solution

The fourth proportional to 505.24, 757.82 and 140.06 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 757.82 = 140.06 : x
  2. Step 2: Convert to fraction form
    505.24/757.82 = 140.06/x
  3. Step 3: Cross multiply
    505.24x = 757.82 × 140.06
  4. Step 4: Simplify right side
    505.24x = 106,142.51
  5. Step 5: Solve for x
    x = 106,142.51/505.24
  6. Step 6: Final answer
    x = 210.08

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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.