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Finding the Fourth Proportional to 235.47, 352.00 and 174.03

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Solution

The fourth proportional to 235.47, 352.00 and 174.03 is: 260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.47 : 352.00 = 174.03 : x
  2. Step 2: Convert to fraction form
    235.47/352.00 = 174.03/x
  3. Step 3: Cross multiply
    235.47x = 352.00 × 174.03
  4. Step 4: Simplify right side
    235.47x = 61,258.12
  5. Step 5: Solve for x
    x = 61,258.12/235.47
  6. Step 6: Final answer
    x = 260.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.