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Finding the Fourth Proportional to 233.40, 322.04 and 146.04

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Solution

The fourth proportional to 233.40, 322.04 and 146.04 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 322.04 = 146.04 : x
  2. Step 2: Convert to fraction form
    233.40/322.04 = 146.04/x
  3. Step 3: Cross multiply
    233.40x = 322.04 × 146.04
  4. Step 4: Simplify right side
    233.40x = 47,030.72
  5. Step 5: Solve for x
    x = 47,030.72/233.40
  6. Step 6: Final answer
    x = 201.50

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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.