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Finding the Fourth Proportional to 292.04, 436.14 and 234.35

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Solution

The fourth proportional to 292.04, 436.14 and 234.35 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.04 : 436.14 = 234.35 : x
  2. Step 2: Convert to fraction form
    292.04/436.14 = 234.35/x
  3. Step 3: Cross multiply
    292.04x = 436.14 × 234.35
  4. Step 4: Simplify right side
    292.04x = 102,207.23
  5. Step 5: Solve for x
    x = 102,207.23/292.04
  6. Step 6: Final answer
    x = 349.98

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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.