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Finding the Fourth Proportional to 177.51, 265.89 and 148.53

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Solution

The fourth proportional to 177.51, 265.89 and 148.53 is: 222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 265.89 = 148.53 : x
  2. Step 2: Convert to fraction form
    177.51/265.89 = 148.53/x
  3. Step 3: Cross multiply
    177.51x = 265.89 × 148.53
  4. Step 4: Simplify right side
    177.51x = 39,492.64
  5. Step 5: Solve for x
    x = 39,492.64/177.51
  6. Step 6: Final answer
    x = 222.48

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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.