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Finding the Fourth Proportional to 233.58, 322.29 and 150.67

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Solution

The fourth proportional to 233.58, 322.29 and 150.67 is: 207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.58 : 322.29 = 150.67 : x
  2. Step 2: Convert to fraction form
    233.58/322.29 = 150.67/x
  3. Step 3: Cross multiply
    233.58x = 322.29 × 150.67
  4. Step 4: Simplify right side
    233.58x = 48,559.43
  5. Step 5: Solve for x
    x = 48,559.43/233.58
  6. Step 6: Final answer
    x = 207.89

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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.