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Finding the Fourth Proportional to 214.60, 296.16 and 156.64

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Solution

The fourth proportional to 214.60, 296.16 and 156.64 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.60 : 296.16 = 156.64 : x
  2. Step 2: Convert to fraction form
    214.60/296.16 = 156.64/x
  3. Step 3: Cross multiply
    214.60x = 296.16 × 156.64
  4. Step 4: Simplify right side
    214.60x = 46,390.50
  5. Step 5: Solve for x
    x = 46,390.50/214.60
  6. Step 6: Final answer
    x = 216.17

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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.