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Finding the Fourth Proportional to 233.30, 348 and 228.98

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Solution

The fourth proportional to 233.30, 348 and 228.98 is: 341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.30 : 348 = 228.98 : x
  2. Step 2: Convert to fraction form
    233.30/348 = 228.98/x
  3. Step 3: Cross multiply
    233.30x = 348 × 228.98
  4. Step 4: Simplify right side
    233.30x = 79,683.30
  5. Step 5: Solve for x
    x = 79,683.30/233.30
  6. Step 6: Final answer
    x = 341.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.