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Finding the Fourth Proportional to 214.58, 295.84 and 155.65

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Solution

The fourth proportional to 214.58, 295.84 and 155.65 is: 214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.58 : 295.84 = 155.65 : x
  2. Step 2: Convert to fraction form
    214.58/295.84 = 155.65/x
  3. Step 3: Cross multiply
    214.58x = 295.84 × 155.65
  4. Step 4: Simplify right side
    214.58x = 46,047.50
  5. Step 5: Solve for x
    x = 46,047.50/214.58
  6. Step 6: Final answer
    x = 214.59

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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.