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Finding the Fourth Proportional to 505.40, 758.10 and 140.19

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Solution

The fourth proportional to 505.40, 758.10 and 140.19 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 758.10 = 140.19 : x
  2. Step 2: Convert to fraction form
    505.40/758.10 = 140.19/x
  3. Step 3: Cross multiply
    505.40x = 758.10 × 140.19
  4. Step 4: Simplify right side
    505.40x = 106,274.25
  5. Step 5: Solve for x
    x = 106,274.25/505.40
  6. Step 6: Final answer
    x = 210.28

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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.