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Finding the Fourth Proportional to 155.60, 214.44 and 153.36

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Solution

The fourth proportional to 155.60, 214.44 and 153.36 is: 211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.60 : 214.44 = 153.36 : x
  2. Step 2: Convert to fraction form
    155.60/214.44 = 153.36/x
  3. Step 3: Cross multiply
    155.60x = 214.44 × 153.36
  4. Step 4: Simplify right side
    155.60x = 32,886.52
  5. Step 5: Solve for x
    x = 32,886.52/155.60
  6. Step 6: Final answer
    x = 211.35

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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.