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Finding the Fourth Proportional to 309.81, 465.02 and 236.00

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Solution

The fourth proportional to 309.81, 465.02 and 236.00 is: 354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 465.02 = 236.00 : x
  2. Step 2: Convert to fraction form
    309.81/465.02 = 236.00/x
  3. Step 3: Cross multiply
    309.81x = 465.02 × 236.00
  4. Step 4: Simplify right side
    309.81x = 109,741.21
  5. Step 5: Solve for x
    x = 109,741.21/309.81
  6. Step 6: Final answer
    x = 354.22

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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.