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Finding the Fourth Proportional to 155.40, 214.02 and 152.04

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Solution

The fourth proportional to 155.40, 214.02 and 152.04 is: 209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 214.02 = 152.04 : x
  2. Step 2: Convert to fraction form
    155.40/214.02 = 152.04/x
  3. Step 3: Cross multiply
    155.40x = 214.02 × 152.04
  4. Step 4: Simplify right side
    155.40x = 32,539.60
  5. Step 5: Solve for x
    x = 32,539.60/155.40
  6. Step 6: Final answer
    x = 209.39

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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.