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Finding the Fourth Proportional to 357.65, 536.22 and 184.24

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Solution

The fourth proportional to 357.65, 536.22 and 184.24 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.65 : 536.22 = 184.24 : x
  2. Step 2: Convert to fraction form
    357.65/536.22 = 184.24/x
  3. Step 3: Cross multiply
    357.65x = 536.22 × 184.24
  4. Step 4: Simplify right side
    357.65x = 98,793.84
  5. Step 5: Solve for x
    x = 98,793.84/357.65
  6. Step 6: Final answer
    x = 276.23

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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.