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Finding the Fourth Proportional to 233.84, 322.74 and 146.50

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Solution

The fourth proportional to 233.84, 322.74 and 146.50 is: 202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 322.74 = 146.50 : x
  2. Step 2: Convert to fraction form
    233.84/322.74 = 146.50/x
  3. Step 3: Cross multiply
    233.84x = 322.74 × 146.50
  4. Step 4: Simplify right side
    233.84x = 47,281.41
  5. Step 5: Solve for x
    x = 47,281.41/233.84
  6. Step 6: Final answer
    x = 202.20

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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.