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Finding the Fourth Proportional to 501.81, 752.53 and 193.51

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Solution

The fourth proportional to 501.81, 752.53 and 193.51 is: 290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.81 : 752.53 = 193.51 : x
  2. Step 2: Convert to fraction form
    501.81/752.53 = 193.51/x
  3. Step 3: Cross multiply
    501.81x = 752.53 × 193.51
  4. Step 4: Simplify right side
    501.81x = 145,622.08
  5. Step 5: Solve for x
    x = 145,622.08/501.81
  6. Step 6: Final answer
    x = 290.19

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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.