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Finding the Fourth Proportional to 233.85, 322.60 and 146.51

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Solution

The fourth proportional to 233.85, 322.60 and 146.51 is: 202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.85 : 322.60 = 146.51 : x
  2. Step 2: Convert to fraction form
    233.85/322.60 = 146.51/x
  3. Step 3: Cross multiply
    233.85x = 322.60 × 146.51
  4. Step 4: Simplify right side
    233.85x = 47,264.13
  5. Step 5: Solve for x
    x = 47,264.13/233.85
  6. Step 6: Final answer
    x = 202.11

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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.