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Finding the Fourth Proportional to 235.57, 325.17 and 152.74

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Solution

The fourth proportional to 235.57, 325.17 and 152.74 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.57 : 325.17 = 152.74 : x
  2. Step 2: Convert to fraction form
    235.57/325.17 = 152.74/x
  3. Step 3: Cross multiply
    235.57x = 325.17 × 152.74
  4. Step 4: Simplify right side
    235.57x = 49,666.47
  5. Step 5: Solve for x
    x = 49,666.47/235.57
  6. Step 6: Final answer
    x = 210.84

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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.