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Finding the Fourth Proportional to 235.84, 325.52 and 152.94

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Solution

The fourth proportional to 235.84, 325.52 and 152.94 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.84 : 325.52 = 152.94 : x
  2. Step 2: Convert to fraction form
    235.84/325.52 = 152.94/x
  3. Step 3: Cross multiply
    235.84x = 325.52 × 152.94
  4. Step 4: Simplify right side
    235.84x = 49,784.23
  5. Step 5: Solve for x
    x = 49,784.23/235.84
  6. Step 6: Final answer
    x = 211.10

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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.