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Finding the Fourth Proportional to 295.51, 442.15 and 184.34

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Solution

The fourth proportional to 295.51, 442.15 and 184.34 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.51 : 442.15 = 184.34 : x
  2. Step 2: Convert to fraction form
    295.51/442.15 = 184.34/x
  3. Step 3: Cross multiply
    295.51x = 442.15 × 184.34
  4. Step 4: Simplify right side
    295.51x = 81,505.01
  5. Step 5: Solve for x
    x = 81,505.01/295.51
  6. Step 6: Final answer
    x = 275.82

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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.