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Finding the Fourth Proportional to 235.06, 324.54 and 210.46

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Solution

The fourth proportional to 235.06, 324.54 and 210.46 is: 290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.06 : 324.54 = 210.46 : x
  2. Step 2: Convert to fraction form
    235.06/324.54 = 210.46/x
  3. Step 3: Cross multiply
    235.06x = 324.54 × 210.46
  4. Step 4: Simplify right side
    235.06x = 68,302.69
  5. Step 5: Solve for x
    x = 68,302.69/235.06
  6. Step 6: Final answer
    x = 290.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.