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Finding the Fourth Proportional to 313.08, 432.63 and 248.10

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Solution

The fourth proportional to 313.08, 432.63 and 248.10 is: 342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 432.63 = 248.10 : x
  2. Step 2: Convert to fraction form
    313.08/432.63 = 248.10/x
  3. Step 3: Cross multiply
    313.08x = 432.63 × 248.10
  4. Step 4: Simplify right side
    313.08x = 107,335.50
  5. Step 5: Solve for x
    x = 107,335.50/313.08
  6. Step 6: Final answer
    x = 342.84

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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.