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Finding the Fourth Proportional to 368.12, 507.90 and 228.30

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Solution

The fourth proportional to 368.12, 507.90 and 228.30 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.12 : 507.90 = 228.30 : x
  2. Step 2: Convert to fraction form
    368.12/507.90 = 228.30/x
  3. Step 3: Cross multiply
    368.12x = 507.90 × 228.30
  4. Step 4: Simplify right side
    368.12x = 115,953.57
  5. Step 5: Solve for x
    x = 115,953.57/368.12
  6. Step 6: Final answer
    x = 314.99

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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.