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Finding the Fourth Proportional to 287.02, 429.55 and 177.40

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Solution

The fourth proportional to 287.02, 429.55 and 177.40 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.02 : 429.55 = 177.40 : x
  2. Step 2: Convert to fraction form
    287.02/429.55 = 177.40/x
  3. Step 3: Cross multiply
    287.02x = 429.55 × 177.40
  4. Step 4: Simplify right side
    287.02x = 76,201.32
  5. Step 5: Solve for x
    x = 76,201.32/287.02
  6. Step 6: Final answer
    x = 265.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.