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Finding the Fourth Proportional to 257.60, 385.32 and 236

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Solution

The fourth proportional to 257.60, 385.32 and 236 is: 353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 385.32 = 236 : x
  2. Step 2: Convert to fraction form
    257.60/385.32 = 236/x
  3. Step 3: Cross multiply
    257.60x = 385.32 × 236
  4. Step 4: Simplify right side
    257.60x = 90,935.52
  5. Step 5: Solve for x
    x = 90,935.52/257.60
  6. Step 6: Final answer
    x = 353.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.