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Finding the Fourth Proportional to 292.49, 436.96 and 188.93

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Solution

The fourth proportional to 292.49, 436.96 and 188.93 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.49 : 436.96 = 188.93 : x
  2. Step 2: Convert to fraction form
    292.49/436.96 = 188.93/x
  3. Step 3: Cross multiply
    292.49x = 436.96 × 188.93
  4. Step 4: Simplify right side
    292.49x = 82,554.85
  5. Step 5: Solve for x
    x = 82,554.85/292.49
  6. Step 6: Final answer
    x = 282.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.