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Finding the Fourth Proportional to 177.64, 265.25 and 156.04

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Solution

The fourth proportional to 177.64, 265.25 and 156.04 is: 233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 265.25 = 156.04 : x
  2. Step 2: Convert to fraction form
    177.64/265.25 = 156.04/x
  3. Step 3: Cross multiply
    177.64x = 265.25 × 156.04
  4. Step 4: Simplify right side
    177.64x = 41,389.61
  5. Step 5: Solve for x
    x = 41,389.61/177.64
  6. Step 6: Final answer
    x = 233.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.