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Finding the Fourth Proportional to 233.78, 322.56 and 150.87

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Solution

The fourth proportional to 233.78, 322.56 and 150.87 is: 208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.78 : 322.56 = 150.87 : x
  2. Step 2: Convert to fraction form
    233.78/322.56 = 150.87/x
  3. Step 3: Cross multiply
    233.78x = 322.56 × 150.87
  4. Step 4: Simplify right side
    233.78x = 48,664.63
  5. Step 5: Solve for x
    x = 48,664.63/233.78
  6. Step 6: Final answer
    x = 208.16

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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.