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Finding the Fourth Proportional to 292.52, 403.70 and 176.06

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Solution

The fourth proportional to 292.52, 403.70 and 176.06 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.52 : 403.70 = 176.06 : x
  2. Step 2: Convert to fraction form
    292.52/403.70 = 176.06/x
  3. Step 3: Cross multiply
    292.52x = 403.70 × 176.06
  4. Step 4: Simplify right side
    292.52x = 71,075.42
  5. Step 5: Solve for x
    x = 71,075.42/292.52
  6. Step 6: Final answer
    x = 242.98

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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.