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Finding the Fourth Proportional to 214.66, 296.35 and 155.93

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Solution

The fourth proportional to 214.66, 296.35 and 155.93 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.66 : 296.35 = 155.93 : x
  2. Step 2: Convert to fraction form
    214.66/296.35 = 155.93/x
  3. Step 3: Cross multiply
    214.66x = 296.35 × 155.93
  4. Step 4: Simplify right side
    214.66x = 46,210.21
  5. Step 5: Solve for x
    x = 46,210.21/214.66
  6. Step 6: Final answer
    x = 215.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.