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Finding the Fourth Proportional to 235.46, 324.93 and 130.55

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Solution

The fourth proportional to 235.46, 324.93 and 130.55 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.46 : 324.93 = 130.55 : x
  2. Step 2: Convert to fraction form
    235.46/324.93 = 130.55/x
  3. Step 3: Cross multiply
    235.46x = 324.93 × 130.55
  4. Step 4: Simplify right side
    235.46x = 42,419.61
  5. Step 5: Solve for x
    x = 42,419.61/235.46
  6. Step 6: Final answer
    x = 180.16

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