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Finding the Fourth Proportional to 235.53, 324.64 and 188.75

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Solution

The fourth proportional to 235.53, 324.64 and 188.75 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.53 : 324.64 = 188.75 : x
  2. Step 2: Convert to fraction form
    235.53/324.64 = 188.75/x
  3. Step 3: Cross multiply
    235.53x = 324.64 × 188.75
  4. Step 4: Simplify right side
    235.53x = 61,275.80
  5. Step 5: Solve for x
    x = 61,275.80/235.53
  6. Step 6: Final answer
    x = 260.16

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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.