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Finding the Fourth Proportional to 501.30, 751.80 and 193.13

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Solution

The fourth proportional to 501.30, 751.80 and 193.13 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 751.80 = 193.13 : x
  2. Step 2: Convert to fraction form
    501.30/751.80 = 193.13/x
  3. Step 3: Cross multiply
    501.30x = 751.80 × 193.13
  4. Step 4: Simplify right side
    501.30x = 145,195.13
  5. Step 5: Solve for x
    x = 145,195.13/501.30
  6. Step 6: Final answer
    x = 289.64

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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.