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Finding the Fourth Proportional to 295.15, 407.23 and 229.84

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Solution

The fourth proportional to 295.15, 407.23 and 229.84 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.15 : 407.23 = 229.84 : x
  2. Step 2: Convert to fraction form
    295.15/407.23 = 229.84/x
  3. Step 3: Cross multiply
    295.15x = 407.23 × 229.84
  4. Step 4: Simplify right side
    295.15x = 93,597.74
  5. Step 5: Solve for x
    x = 93,597.74/295.15
  6. Step 6: Final answer
    x = 317.12

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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.