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Finding the Fourth Proportional to 295.42, 442.80 and 192.90

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Solution

The fourth proportional to 295.42, 442.80 and 192.90 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.42 : 442.80 = 192.90 : x
  2. Step 2: Convert to fraction form
    295.42/442.80 = 192.90/x
  3. Step 3: Cross multiply
    295.42x = 442.80 × 192.90
  4. Step 4: Simplify right side
    295.42x = 85,416.12
  5. Step 5: Solve for x
    x = 85,416.12/295.42
  6. Step 6: Final answer
    x = 289.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.