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Finding the Fourth Proportional to 235.51, 324.97 and 130.58

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Solution

The fourth proportional to 235.51, 324.97 and 130.58 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.51 : 324.97 = 130.58 : x
  2. Step 2: Convert to fraction form
    235.51/324.97 = 130.58/x
  3. Step 3: Cross multiply
    235.51x = 324.97 × 130.58
  4. Step 4: Simplify right side
    235.51x = 42,434.58
  5. Step 5: Solve for x
    x = 42,434.58/235.51
  6. Step 6: Final answer
    x = 180.19

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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.