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Finding the Fourth Proportional to 233.76, 322.52 and 146.40

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Solution

The fourth proportional to 233.76, 322.52 and 146.40 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 322.52 = 146.40 : x
  2. Step 2: Convert to fraction form
    233.76/322.52 = 146.40/x
  3. Step 3: Cross multiply
    233.76x = 322.52 × 146.40
  4. Step 4: Simplify right side
    233.76x = 47,216.93
  5. Step 5: Solve for x
    x = 47,216.93/233.76
  6. Step 6: Final answer
    x = 201.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.