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Finding the Fourth Proportional to 233.95, 322.85 and 130.45

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Solution

The fourth proportional to 233.95, 322.85 and 130.45 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.95 : 322.85 = 130.45 : x
  2. Step 2: Convert to fraction form
    233.95/322.85 = 130.45/x
  3. Step 3: Cross multiply
    233.95x = 322.85 × 130.45
  4. Step 4: Simplify right side
    233.95x = 42,115.78
  5. Step 5: Solve for x
    x = 42,115.78/233.95
  6. Step 6: Final answer
    x = 180.02

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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.