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Finding the Fourth Proportional to 235.64, 325.11 and 147.10

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Solution

The fourth proportional to 235.64, 325.11 and 147.10 is: 202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 325.11 = 147.10 : x
  2. Step 2: Convert to fraction form
    235.64/325.11 = 147.10/x
  3. Step 3: Cross multiply
    235.64x = 325.11 × 147.10
  4. Step 4: Simplify right side
    235.64x = 47,823.68
  5. Step 5: Solve for x
    x = 47,823.68/235.64
  6. Step 6: Final answer
    x = 202.95

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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.