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Finding the Fourth Proportional to 235.40, 324.87 and 148.07

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Solution

The fourth proportional to 235.40, 324.87 and 148.07 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 324.87 = 148.07 : x
  2. Step 2: Convert to fraction form
    235.40/324.87 = 148.07/x
  3. Step 3: Cross multiply
    235.40x = 324.87 × 148.07
  4. Step 4: Simplify right side
    235.40x = 48,101.14
  5. Step 5: Solve for x
    x = 48,101.14/235.40
  6. Step 6: Final answer
    x = 204.34

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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.